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Finding the Fourth Proportional to 280,106.57, 386,551.69 and 152,782.18

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Solution

The fourth proportional to 280,106.57, 386,551.69 and 152,782.18 is: 210,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,106.57 : 386,551.69 = 152,782.18 : x
  2. Step 2: Convert to fraction form
    280,106.57/386,551.69 = 152,782.18/x
  3. Step 3: Cross multiply
    280,106.57x = 386,551.69 × 152,782.18
  4. Step 4: Simplify right side
    280,106.57x = 59,058,208,532.55
  5. Step 5: Solve for x
    x = 59,058,208,532.55/280,106.57
  6. Step 6: Final answer
    x = 210,841.92

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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.