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Finding the Fourth Proportional to 114,142.68, 171,010.86 and 97,332.17

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Solution

The fourth proportional to 114,142.68, 171,010.86 and 97,332.17 is: 145,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,142.68 : 171,010.86 = 97,332.17 : x
  2. Step 2: Convert to fraction form
    114,142.68/171,010.86 = 97,332.17/x
  3. Step 3: Cross multiply
    114,142.68x = 171,010.86 × 97,332.17
  4. Step 4: Simplify right side
    114,142.68x = 16,644,857,242.31
  5. Step 5: Solve for x
    x = 16,644,857,242.31/114,142.68
  6. Step 6: Final answer
    x = 145,825.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.