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Finding the Fourth Proportional to 238,232.74, 357,253.72 and 105,018.32

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Solution

The fourth proportional to 238,232.74, 357,253.72 and 105,018.32 is: 157,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,232.74 : 357,253.72 = 105,018.32 : x
  2. Step 2: Convert to fraction form
    238,232.74/357,253.72 = 105,018.32/x
  3. Step 3: Cross multiply
    238,232.74x = 357,253.72 × 105,018.32
  4. Step 4: Simplify right side
    238,232.74x = 37,518,185,488.15
  5. Step 5: Solve for x
    x = 37,518,185,488.15/238,232.74
  6. Step 6: Final answer
    x = 157,485.43

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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.