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Finding the Fourth Proportional to 123,772.10, 185,330.10 and 97,528.10

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Solution

The fourth proportional to 123,772.10, 185,330.10 and 97,528.10 is: 146,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,772.10 : 185,330.10 = 97,528.10 : x
  2. Step 2: Convert to fraction form
    123,772.10/185,330.10 = 97,528.10/x
  3. Step 3: Cross multiply
    123,772.10x = 185,330.10 × 97,528.10
  4. Step 4: Simplify right side
    123,772.10x = 18,074,892,525.81
  5. Step 5: Solve for x
    x = 18,074,892,525.81/123,772.10
  6. Step 6: Final answer
    x = 146,033.66

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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.