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Finding the Fourth Proportional to 180,859.68, 249,598.80 and 100,294.56

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Solution

The fourth proportional to 180,859.68, 249,598.80 and 100,294.56 is: 138,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,859.68 : 249,598.80 = 100,294.56 : x
  2. Step 2: Convert to fraction form
    180,859.68/249,598.80 = 100,294.56/x
  3. Step 3: Cross multiply
    180,859.68x = 249,598.80 × 100,294.56
  4. Step 4: Simplify right side
    180,859.68x = 25,033,401,822.53
  5. Step 5: Solve for x
    x = 25,033,401,822.53/180,859.68
  6. Step 6: Final answer
    x = 138,413.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.