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Finding the Fourth Proportional to 223,048.31, 334,572.93 and 156,784.95

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Solution

The fourth proportional to 223,048.31, 334,572.93 and 156,784.95 is: 235,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,048.31 : 334,572.93 = 156,784.95 : x
  2. Step 2: Convert to fraction form
    223,048.31/334,572.93 = 156,784.95/x
  3. Step 3: Cross multiply
    223,048.31x = 334,572.93 × 156,784.95
  4. Step 4: Simplify right side
    223,048.31x = 52,456,000,101.40
  5. Step 5: Solve for x
    x = 52,456,000,101.40/223,048.31
  6. Step 6: Final answer
    x = 235,177.76

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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.