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Finding the Fourth Proportional to 359,256.20, 538,689.90 and 148,915.40

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Solution

The fourth proportional to 359,256.20, 538,689.90 and 148,915.40 is: 223,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,256.20 : 538,689.90 = 148,915.40 : x
  2. Step 2: Convert to fraction form
    359,256.20/538,689.90 = 148,915.40/x
  3. Step 3: Cross multiply
    359,256.20x = 538,689.90 × 148,915.40
  4. Step 4: Simplify right side
    359,256.20x = 80,219,221,934.46
  5. Step 5: Solve for x
    x = 80,219,221,934.46/359,256.20
  6. Step 6: Final answer
    x = 223,292.52

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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.