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Finding the Fourth Proportional to 180,662.93, 249,294.66 and 100,070.46

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Solution

The fourth proportional to 180,662.93, 249,294.66 and 100,070.46 is: 138,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,662.93 : 249,294.66 = 100,070.46 : x
  2. Step 2: Convert to fraction form
    180,662.93/249,294.66 = 100,070.46/x
  3. Step 3: Cross multiply
    180,662.93x = 249,294.66 × 100,070.46
  4. Step 4: Simplify right side
    180,662.93x = 24,947,031,301.74
  5. Step 5: Solve for x
    x = 24,947,031,301.74/180,662.93
  6. Step 6: Final answer
    x = 138,086.06

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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.