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Finding the Fourth Proportional to 191,547.75, 287,376.30 and 65,215.71

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Solution

The fourth proportional to 191,547.75, 287,376.30 and 65,215.71 is: 97,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,547.75 : 287,376.30 = 65,215.71 : x
  2. Step 2: Convert to fraction form
    191,547.75/287,376.30 = 65,215.71/x
  3. Step 3: Cross multiply
    191,547.75x = 287,376.30 × 65,215.71
  4. Step 4: Simplify right side
    191,547.75x = 18,741,449,441.67
  5. Step 5: Solve for x
    x = 18,741,449,441.67/191,547.75
  6. Step 6: Final answer
    x = 97,842.18

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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.