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Finding the Fourth Proportional to 117,646.40, 176,404.80 and 47,446.40

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Solution

The fourth proportional to 117,646.40, 176,404.80 and 47,446.40 is: 71,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,646.40 : 176,404.80 = 47,446.40 : x
  2. Step 2: Convert to fraction form
    117,646.40/176,404.80 = 47,446.40/x
  3. Step 3: Cross multiply
    117,646.40x = 176,404.80 × 47,446.40
  4. Step 4: Simplify right side
    117,646.40x = 8,369,772,702.72
  5. Step 5: Solve for x
    x = 8,369,772,702.72/117,646.40
  6. Step 6: Final answer
    x = 71,143.47

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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.