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Finding the Fourth Proportional to 157,206.92, 216,946.86 and 85,587.44

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Solution

The fourth proportional to 157,206.92, 216,946.86 and 85,587.44 is: 118,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,206.92 : 216,946.86 = 85,587.44 : x
  2. Step 2: Convert to fraction form
    157,206.92/216,946.86 = 85,587.44/x
  3. Step 3: Cross multiply
    157,206.92x = 216,946.86 × 85,587.44
  4. Step 4: Simplify right side
    157,206.92x = 18,567,926,363.44
  5. Step 5: Solve for x
    x = 18,567,926,363.44/157,206.92
  6. Step 6: Final answer
    x = 118,111.38

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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.