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Finding the Fourth Proportional to 280,068.28, 386,490.33 and 152,743.84

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Solution

The fourth proportional to 280,068.28, 386,490.33 and 152,743.84 is: 210,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,068.28 : 386,490.33 = 152,743.84 : x
  2. Step 2: Convert to fraction form
    280,068.28/386,490.33 = 152,743.84/x
  3. Step 3: Cross multiply
    280,068.28x = 386,490.33 × 152,743.84
  4. Step 4: Simplify right side
    280,068.28x = 59,034,017,127.07
  5. Step 5: Solve for x
    x = 59,034,017,127.07/280,068.28
  6. Step 6: Final answer
    x = 210,784.37

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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.