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Finding the Fourth Proportional to 157,411.74, 236,054.97 and 57,549.18

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Solution

The fourth proportional to 157,411.74, 236,054.97 and 57,549.18 is: 86,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,411.74 : 236,054.97 = 57,549.18 : x
  2. Step 2: Convert to fraction form
    157,411.74/236,054.97 = 57,549.18/x
  3. Step 3: Cross multiply
    157,411.74x = 236,054.97 × 57,549.18
  4. Step 4: Simplify right side
    157,411.74x = 13,584,769,958.42
  5. Step 5: Solve for x
    x = 13,584,769,958.42/157,411.74
  6. Step 6: Final answer
    x = 86,300.87

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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.