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Finding the Fourth Proportional to 96,113.34, 143,969.10 and 77,291.76

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Solution

The fourth proportional to 96,113.34, 143,969.10 and 77,291.76 is: 115,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,113.34 : 143,969.10 = 77,291.76 : x
  2. Step 2: Convert to fraction form
    96,113.34/143,969.10 = 77,291.76/x
  3. Step 3: Cross multiply
    96,113.34x = 143,969.10 × 77,291.76
  4. Step 4: Simplify right side
    96,113.34x = 11,127,625,124.62
  5. Step 5: Solve for x
    x = 11,127,625,124.62/96,113.34
  6. Step 6: Final answer
    x = 115,776.07

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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.