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Finding the Fourth Proportional to 153,262.32, 229,922.64 and 48,053.04

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Solution

The fourth proportional to 153,262.32, 229,922.64 and 48,053.04 is: 72,088.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,262.32 : 229,922.64 = 48,053.04 : x
  2. Step 2: Convert to fraction form
    153,262.32/229,922.64 = 48,053.04/x
  3. Step 3: Cross multiply
    153,262.32x = 229,922.64 × 48,053.04
  4. Step 4: Simplify right side
    153,262.32x = 11,048,481,816.83
  5. Step 5: Solve for x
    x = 11,048,481,816.83/153,262.32
  6. Step 6: Final answer
    x = 72,088.70

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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.