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Finding the Fourth Proportional to 157,127.16, 216,835.08 and 85,507.17

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Solution

The fourth proportional to 157,127.16, 216,835.08 and 85,507.17 is: 117,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,127.16 : 216,835.08 = 85,507.17 : x
  2. Step 2: Convert to fraction form
    157,127.16/216,835.08 = 85,507.17/x
  3. Step 3: Cross multiply
    157,127.16x = 216,835.08 × 85,507.17
  4. Step 4: Simplify right side
    157,127.16x = 18,540,954,047.52
  5. Step 5: Solve for x
    x = 18,540,954,047.52/157,127.16
  6. Step 6: Final answer
    x = 117,999.68

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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.