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Finding the Fourth Proportional to 284,259.60, 425,827.80 and 144,118.80

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Solution

The fourth proportional to 284,259.60, 425,827.80 and 144,118.80 is: 215,893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,259.60 : 425,827.80 = 144,118.80 : x
  2. Step 2: Convert to fraction form
    284,259.60/425,827.80 = 144,118.80/x
  3. Step 3: Cross multiply
    284,259.60x = 425,827.80 × 144,118.80
  4. Step 4: Simplify right side
    284,259.60x = 61,369,791,542.64
  5. Step 5: Solve for x
    x = 61,369,791,542.64/284,259.60
  6. Step 6: Final answer
    x = 215,893.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.