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Finding the Fourth Proportional to 83,856.30, 125,784.45 and 83,856.30

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Solution

The fourth proportional to 83,856.30, 125,784.45 and 83,856.30 is: 125,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,856.30 : 125,784.45 = 83,856.30 : x
  2. Step 2: Convert to fraction form
    83,856.30/125,784.45 = 83,856.30/x
  3. Step 3: Cross multiply
    83,856.30x = 125,784.45 × 83,856.30
  4. Step 4: Simplify right side
    83,856.30x = 10,547,818,574.54
  5. Step 5: Solve for x
    x = 10,547,818,574.54/83,856.30
  6. Step 6: Final answer
    x = 125,784.45

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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.