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Finding the Fourth Proportional to 157,127.07, 216,834.94 and 85,507.07

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Solution

The fourth proportional to 157,127.07, 216,834.94 and 85,507.07 is: 117,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,127.07 : 216,834.94 = 85,507.07 : x
  2. Step 2: Convert to fraction form
    157,127.07/216,834.94 = 85,507.07/x
  3. Step 3: Cross multiply
    157,127.07x = 216,834.94 × 85,507.07
  4. Step 4: Simplify right side
    157,127.07x = 18,540,920,393.03
  5. Step 5: Solve for x
    x = 18,540,920,393.03/157,127.07
  6. Step 6: Final answer
    x = 117,999.53

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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.