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Finding the Fourth Proportional to 284,250.54, 425,909.25 and 97,159.98

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Solution

The fourth proportional to 284,250.54, 425,909.25 and 97,159.98 is: 145,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,250.54 : 425,909.25 = 97,159.98 : x
  2. Step 2: Convert to fraction form
    284,250.54/425,909.25 = 97,159.98/x
  3. Step 3: Cross multiply
    284,250.54x = 425,909.25 × 97,159.98
  4. Step 4: Simplify right side
    284,250.54x = 41,381,334,211.82
  5. Step 5: Solve for x
    x = 41,381,334,211.82/284,250.54
  6. Step 6: Final answer
    x = 145,580.49

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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.