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Finding the Fourth Proportional to 136,970.47, 189,139.49 and 86,071.42

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Solution

The fourth proportional to 136,970.47, 189,139.49 and 86,071.42 is: 118,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,970.47 : 189,139.49 = 86,071.42 : x
  2. Step 2: Convert to fraction form
    136,970.47/189,139.49 = 86,071.42/x
  3. Step 3: Cross multiply
    136,970.47x = 189,139.49 × 86,071.42
  4. Step 4: Simplify right side
    136,970.47x = 16,279,504,482.38
  5. Step 5: Solve for x
    x = 16,279,504,482.38/136,970.47
  6. Step 6: Final answer
    x = 118,854.12

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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.