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Finding the Fourth Proportional to 355,130.64, 532,497.24 and 144,522

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Solution

The fourth proportional to 355,130.64, 532,497.24 and 144,522 is: 216,702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,130.64 : 532,497.24 = 144,522 : x
  2. Step 2: Convert to fraction form
    355,130.64/532,497.24 = 144,522/x
  3. Step 3: Cross multiply
    355,130.64x = 532,497.24 × 144,522
  4. Step 4: Simplify right side
    355,130.64x = 76,957,566,119.28
  5. Step 5: Solve for x
    x = 76,957,566,119.28/355,130.64
  6. Step 6: Final answer
    x = 216,702.13

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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.