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Finding the Fourth Proportional to 191,417.90, 287,140.06 and 65,006.57

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Solution

The fourth proportional to 191,417.90, 287,140.06 and 65,006.57 is: 97,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,417.90 : 287,140.06 = 65,006.57 : x
  2. Step 2: Convert to fraction form
    191,417.90/287,140.06 = 65,006.57/x
  3. Step 3: Cross multiply
    191,417.90x = 287,140.06 × 65,006.57
  4. Step 4: Simplify right side
    191,417.90x = 18,665,989,776.97
  5. Step 5: Solve for x
    x = 18,665,989,776.97/191,417.90
  6. Step 6: Final answer
    x = 97,514.34

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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.