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Finding the Fourth Proportional to 117,864.40, 176,807.40 and 47,729.20

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Solution

The fourth proportional to 117,864.40, 176,807.40 and 47,729.20 is: 71,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,864.40 : 176,807.40 = 47,729.20 : x
  2. Step 2: Convert to fraction form
    117,864.40/176,807.40 = 47,729.20/x
  3. Step 3: Cross multiply
    117,864.40x = 176,807.40 × 47,729.20
  4. Step 4: Simplify right side
    117,864.40x = 8,438,875,756.08
  5. Step 5: Solve for x
    x = 8,438,875,756.08/117,864.40
  6. Step 6: Final answer
    x = 71,598.17

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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.