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Finding the Fourth Proportional to 160,058.06, 220,865.01 and 102,595.94

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Solution

The fourth proportional to 160,058.06, 220,865.01 and 102,595.94 is: 141,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,058.06 : 220,865.01 = 102,595.94 : x
  2. Step 2: Convert to fraction form
    160,058.06/220,865.01 = 102,595.94/x
  3. Step 3: Cross multiply
    160,058.06x = 220,865.01 × 102,595.94
  4. Step 4: Simplify right side
    160,058.06x = 22,659,853,314.06
  5. Step 5: Solve for x
    x = 22,659,853,314.06/160,058.06
  6. Step 6: Final answer
    x = 141,572.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.