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Finding the Fourth Proportional to 102,225.20, 153,345.36 and 35,657.24

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Solution

The fourth proportional to 102,225.20, 153,345.36 and 35,657.24 is: 53,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,225.20 : 153,345.36 = 35,657.24 : x
  2. Step 2: Convert to fraction form
    102,225.20/153,345.36 = 35,657.24/x
  3. Step 3: Cross multiply
    102,225.20x = 153,345.36 × 35,657.24
  4. Step 4: Simplify right side
    102,225.20x = 5,467,872,304.41
  5. Step 5: Solve for x
    x = 5,467,872,304.41/102,225.20
  6. Step 6: Final answer
    x = 53,488.50

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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.