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Finding the Fourth Proportional to 280,754.30, 387,441.16 and 153,429.93

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Solution

The fourth proportional to 280,754.30, 387,441.16 and 153,429.93 is: 211,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,754.30 : 387,441.16 = 153,429.93 : x
  2. Step 2: Convert to fraction form
    280,754.30/387,441.16 = 153,429.93/x
  3. Step 3: Cross multiply
    280,754.30x = 387,441.16 × 153,429.93
  4. Step 4: Simplify right side
    280,754.30x = 59,445,069,674.34
  5. Step 5: Solve for x
    x = 59,445,069,674.34/280,754.30
  6. Step 6: Final answer
    x = 211,733.42

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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.