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Finding the Fourth Proportional to 142,058.92, 213,123.08 and 47,288.92

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Solution

The fourth proportional to 142,058.92, 213,123.08 and 47,288.92 is: 70,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,058.92 : 213,123.08 = 47,288.92 : x
  2. Step 2: Convert to fraction form
    142,058.92/213,123.08 = 47,288.92/x
  3. Step 3: Cross multiply
    142,058.92x = 213,123.08 × 47,288.92
  4. Step 4: Simplify right side
    142,058.92x = 10,078,360,280.27
  5. Step 5: Solve for x
    x = 10,078,360,280.27/142,058.92
  6. Step 6: Final answer
    x = 70,944.93

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1.5x scale

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.