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Finding the Fourth Proportional to 169,510.32, 233,944.80 and 97,890

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Solution

The fourth proportional to 169,510.32, 233,944.80 and 97,890 is: 135,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,510.32 : 233,944.80 = 97,890 : x
  2. Step 2: Convert to fraction form
    169,510.32/233,944.80 = 97,890/x
  3. Step 3: Cross multiply
    169,510.32x = 233,944.80 × 97,890
  4. Step 4: Simplify right side
    169,510.32x = 22,900,856,472
  5. Step 5: Solve for x
    x = 22,900,856,472/169,510.32
  6. Step 6: Final answer
    x = 135,100.07

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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.