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Finding the Fourth Proportional to 123,624, 185,467.08 and 57,111.16

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Solution

The fourth proportional to 123,624, 185,467.08 and 57,111.16 is: 85,681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,624 : 185,467.08 = 57,111.16 : x
  2. Step 2: Convert to fraction form
    123,624/185,467.08 = 57,111.16/x
  3. Step 3: Cross multiply
    123,624x = 185,467.08 × 57,111.16
  4. Step 4: Simplify right side
    123,624x = 10,592,240,080.61
  5. Step 5: Solve for x
    x = 10,592,240,080.61/123,624
  6. Step 6: Final answer
    x = 85,681.10

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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.