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Finding the Fourth Proportional to 114,332, 157,778.20 and 64,031

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Solution

The fourth proportional to 114,332, 157,778.20 and 64,031 is: 88,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,332 : 157,778.20 = 64,031 : x
  2. Step 2: Convert to fraction form
    114,332/157,778.20 = 64,031/x
  3. Step 3: Cross multiply
    114,332x = 157,778.20 × 64,031
  4. Step 4: Simplify right side
    114,332x = 10,102,695,924.20
  5. Step 5: Solve for x
    x = 10,102,695,924.20/114,332
  6. Step 6: Final answer
    x = 88,362.80

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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.