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Finding the Fourth Proportional to 157,206.76, 216,938.52 and 85,587.03

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Solution

The fourth proportional to 157,206.76, 216,938.52 and 85,587.03 is: 118,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,206.76 : 216,938.52 = 85,587.03 : x
  2. Step 2: Convert to fraction form
    157,206.76/216,938.52 = 85,587.03/x
  3. Step 3: Cross multiply
    157,206.76x = 216,938.52 × 85,587.03
  4. Step 4: Simplify right side
    157,206.76x = 18,567,123,619.40
  5. Step 5: Solve for x
    x = 18,567,123,619.40/157,206.76
  6. Step 6: Final answer
    x = 118,106.40

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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.