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Finding the Fourth Proportional to 280,438.47, 387,011.72 and 153,114.98

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Solution

The fourth proportional to 280,438.47, 387,011.72 and 153,114.98 is: 211,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,438.47 : 387,011.72 = 153,114.98 : x
  2. Step 2: Convert to fraction form
    280,438.47/387,011.72 = 153,114.98/x
  3. Step 3: Cross multiply
    280,438.47x = 387,011.72 × 153,114.98
  4. Step 4: Simplify right side
    280,438.47x = 59,257,290,215.29
  5. Step 5: Solve for x
    x = 59,257,290,215.29/280,438.47
  6. Step 6: Final answer
    x = 211,302.29

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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.