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Finding the Fourth Proportional to 123,567.75, 185,286.02 and 56,973.60

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Solution

The fourth proportional to 123,567.75, 185,286.02 and 56,973.60 is: 85,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,567.75 : 185,286.02 = 56,973.60 : x
  2. Step 2: Convert to fraction form
    123,567.75/185,286.02 = 56,973.60/x
  3. Step 3: Cross multiply
    123,567.75x = 185,286.02 × 56,973.60
  4. Step 4: Simplify right side
    123,567.75x = 10,556,411,304.20
  5. Step 5: Solve for x
    x = 10,556,411,304.20/123,567.75
  6. Step 6: Final answer
    x = 85,430.15

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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.