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Finding the Fourth Proportional to 238,040.30, 357,060.09 and 97,700.06

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Solution

The fourth proportional to 238,040.30, 357,060.09 and 97,700.06 is: 146,549.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,040.30 : 357,060.09 = 97,700.06 : x
  2. Step 2: Convert to fraction form
    238,040.30/357,060.09 = 97,700.06/x
  3. Step 3: Cross multiply
    238,040.30x = 357,060.09 × 97,700.06
  4. Step 4: Simplify right side
    238,040.30x = 34,884,792,216.61
  5. Step 5: Solve for x
    x = 34,884,792,216.61/238,040.30
  6. Step 6: Final answer
    x = 146,549.94

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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.