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Finding the Fourth Proportional to 195,076, 292,614.14 and 47,332

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Solution

The fourth proportional to 195,076, 292,614.14 and 47,332 is: 70,998.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,076 : 292,614.14 = 47,332 : x
  2. Step 2: Convert to fraction form
    195,076/292,614.14 = 47,332/x
  3. Step 3: Cross multiply
    195,076x = 292,614.14 × 47,332
  4. Step 4: Simplify right side
    195,076x = 13,850,012,474.48
  5. Step 5: Solve for x
    x = 13,850,012,474.48/195,076
  6. Step 6: Final answer
    x = 70,998.03

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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.