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Finding the Fourth Proportional to 153,155.64, 229,713.30 and 53,294.52

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Solution

The fourth proportional to 153,155.64, 229,713.30 and 53,294.52 is: 79,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,155.64 : 229,713.30 = 53,294.52 : x
  2. Step 2: Convert to fraction form
    153,155.64/229,713.30 = 53,294.52/x
  3. Step 3: Cross multiply
    153,155.64x = 229,713.30 × 53,294.52
  4. Step 4: Simplify right side
    153,155.64x = 12,242,460,061.12
  5. Step 5: Solve for x
    x = 12,242,460,061.12/153,155.64
  6. Step 6: Final answer
    x = 79,934.76

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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.