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Finding the Fourth Proportional to 259,487.46, 358,031.88 and 157,510.49

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Solution

The fourth proportional to 259,487.46, 358,031.88 and 157,510.49 is: 217,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,487.46 : 358,031.88 = 157,510.49 : x
  2. Step 2: Convert to fraction form
    259,487.46/358,031.88 = 157,510.49/x
  3. Step 3: Cross multiply
    259,487.46x = 358,031.88 × 157,510.49
  4. Step 4: Simplify right side
    259,487.46x = 56,393,775,064.26
  5. Step 5: Solve for x
    x = 56,393,775,064.26/259,487.46
  6. Step 6: Final answer
    x = 217,327.55

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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.