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Finding the Fourth Proportional to 280,726.14, 387,411.62 and 153,409.93

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Solution

The fourth proportional to 280,726.14, 387,411.62 and 153,409.93 is: 211,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,726.14 : 387,411.62 = 153,409.93 : x
  2. Step 2: Convert to fraction form
    280,726.14/387,411.62 = 153,409.93/x
  3. Step 3: Cross multiply
    280,726.14x = 387,411.62 × 153,409.93
  4. Step 4: Simplify right side
    280,726.14x = 59,432,789,505.39
  5. Step 5: Solve for x
    x = 59,432,789,505.39/280,726.14
  6. Step 6: Final answer
    x = 211,710.92

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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.