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Finding the Fourth Proportional to 152,598, 228,896.96 and 47,417.04

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Solution

The fourth proportional to 152,598, 228,896.96 and 47,417.04 is: 71,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,598 : 228,896.96 = 47,417.04 : x
  2. Step 2: Convert to fraction form
    152,598/228,896.96 = 47,417.04/x
  3. Step 3: Cross multiply
    152,598x = 228,896.96 × 47,417.04
  4. Step 4: Simplify right side
    152,598x = 10,853,616,308.20
  5. Step 5: Solve for x
    x = 10,853,616,308.20/152,598
  6. Step 6: Final answer
    x = 71,125.55

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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.