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Finding the Fourth Proportional to 138,206.32, 190,750.80 and 86,547.40

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Solution

The fourth proportional to 138,206.32, 190,750.80 and 86,547.40 is: 119,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,206.32 : 190,750.80 = 86,547.40 : x
  2. Step 2: Convert to fraction form
    138,206.32/190,750.80 = 86,547.40/x
  3. Step 3: Cross multiply
    138,206.32x = 190,750.80 × 86,547.40
  4. Step 4: Simplify right side
    138,206.32x = 16,508,985,787.92
  5. Step 5: Solve for x
    x = 16,508,985,787.92/138,206.32
  6. Step 6: Final answer
    x = 119,451.74

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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.