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Finding the Fourth Proportional to 137,641.14, 189,743.72 and 97,283.70

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Solution

The fourth proportional to 137,641.14, 189,743.72 and 97,283.70 is: 134,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,641.14 : 189,743.72 = 97,283.70 : x
  2. Step 2: Convert to fraction form
    137,641.14/189,743.72 = 97,283.70/x
  3. Step 3: Cross multiply
    137,641.14x = 189,743.72 × 97,283.70
  4. Step 4: Simplify right side
    137,641.14x = 18,458,970,646.95
  5. Step 5: Solve for x
    x = 18,458,970,646.95/137,641.14
  6. Step 6: Final answer
    x = 134,109.40

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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.