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Finding the Fourth Proportional to 155,143.20, 232,714.80 and 144,071.52

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Solution

The fourth proportional to 155,143.20, 232,714.80 and 144,071.52 is: 216,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,143.20 : 232,714.80 = 144,071.52 : x
  2. Step 2: Convert to fraction form
    155,143.20/232,714.80 = 144,071.52/x
  3. Step 3: Cross multiply
    155,143.20x = 232,714.80 × 144,071.52
  4. Step 4: Simplify right side
    155,143.20x = 33,527,574,962.50
  5. Step 5: Solve for x
    x = 33,527,574,962.50/155,143.20
  6. Step 6: Final answer
    x = 216,107.28

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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.