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Finding the Fourth Proportional to 257,751.78, 386,476.98 and 97,838.34

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Solution

The fourth proportional to 257,751.78, 386,476.98 and 97,838.34 is: 146,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,751.78 : 386,476.98 = 97,838.34 : x
  2. Step 2: Convert to fraction form
    257,751.78/386,476.98 = 97,838.34/x
  3. Step 3: Cross multiply
    257,751.78x = 386,476.98 × 97,838.34
  4. Step 4: Simplify right side
    257,751.78x = 37,812,266,171.41
  5. Step 5: Solve for x
    x = 37,812,266,171.41/257,751.78
  6. Step 6: Final answer
    x = 146,700.31

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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.