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Finding the Fourth Proportional to 278,030.32, 383,681.46 and 150,705.88

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Solution

The fourth proportional to 278,030.32, 383,681.46 and 150,705.88 is: 207,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,030.32 : 383,681.46 = 150,705.88 : x
  2. Step 2: Convert to fraction form
    278,030.32/383,681.46 = 150,705.88/x
  3. Step 3: Cross multiply
    278,030.32x = 383,681.46 × 150,705.88
  4. Step 4: Simplify right side
    278,030.32x = 57,823,052,068.98
  5. Step 5: Solve for x
    x = 57,823,052,068.98/278,030.32
  6. Step 6: Final answer
    x = 207,973.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.