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Finding the Fourth Proportional to 169,378.88, 233,762.10 and 97,778.12

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Solution

The fourth proportional to 169,378.88, 233,762.10 and 97,778.12 is: 134,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,378.88 : 233,762.10 = 97,778.12 : x
  2. Step 2: Convert to fraction form
    169,378.88/233,762.10 = 97,778.12/x
  3. Step 3: Cross multiply
    169,378.88x = 233,762.10 × 97,778.12
  4. Step 4: Simplify right side
    169,378.88x = 22,856,818,665.25
  5. Step 5: Solve for x
    x = 22,856,818,665.25/169,378.88
  6. Step 6: Final answer
    x = 134,944.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.