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Finding the Fourth Proportional to 157,397.92, 217,203.63 and 85,776.50

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Solution

The fourth proportional to 157,397.92, 217,203.63 and 85,776.50 is: 118,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,397.92 : 217,203.63 = 85,776.50 : x
  2. Step 2: Convert to fraction form
    157,397.92/217,203.63 = 85,776.50/x
  3. Step 3: Cross multiply
    157,397.92x = 217,203.63 × 85,776.50
  4. Step 4: Simplify right side
    157,397.92x = 18,630,967,390.04
  5. Step 5: Solve for x
    x = 18,630,967,390.04/157,397.92
  6. Step 6: Final answer
    x = 118,368.58

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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.