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Finding the Fourth Proportional to 176,402.40, 264,430.80 and 92,205.60

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Solution

The fourth proportional to 176,402.40, 264,430.80 and 92,205.60 is: 138,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,402.40 : 264,430.80 = 92,205.60 : x
  2. Step 2: Convert to fraction form
    176,402.40/264,430.80 = 92,205.60/x
  3. Step 3: Cross multiply
    176,402.40x = 264,430.80 × 92,205.60
  4. Step 4: Simplify right side
    176,402.40x = 24,382,000,572.48
  5. Step 5: Solve for x
    x = 24,382,000,572.48/176,402.40
  6. Step 6: Final answer
    x = 138,218.08

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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.