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Finding the Fourth Proportional to 191,417, 287,125.64 and 86,112.96

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Solution

The fourth proportional to 191,417, 287,125.64 and 86,112.96 is: 129,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,417 : 287,125.64 = 86,112.96 : x
  2. Step 2: Convert to fraction form
    191,417/287,125.64 = 86,112.96/x
  3. Step 3: Cross multiply
    191,417x = 287,125.64 × 86,112.96
  4. Step 4: Simplify right side
    191,417x = 24,725,238,752.29
  5. Step 5: Solve for x
    x = 24,725,238,752.29/191,417
  6. Step 6: Final answer
    x = 129,169.50

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1.5x scale

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.