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Finding the Fourth Proportional to 180,875.35, 249,587.35 and 100,282.51

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Solution

The fourth proportional to 180,875.35, 249,587.35 and 100,282.51 is: 138,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,875.35 : 249,587.35 = 100,282.51 : x
  2. Step 2: Convert to fraction form
    180,875.35/249,587.35 = 100,282.51/x
  3. Step 3: Cross multiply
    180,875.35x = 249,587.35 × 100,282.51
  4. Step 4: Simplify right side
    180,875.35x = 25,029,245,922.25
  5. Step 5: Solve for x
    x = 25,029,245,922.25/180,875.35
  6. Step 6: Final answer
    x = 138,378.42

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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.