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Finding the Fourth Proportional to 90,827.80, 136,241.70 and 51,461.80

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Solution

The fourth proportional to 90,827.80, 136,241.70 and 51,461.80 is: 77,192.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,827.80 : 136,241.70 = 51,461.80 : x
  2. Step 2: Convert to fraction form
    90,827.80/136,241.70 = 51,461.80/x
  3. Step 3: Cross multiply
    90,827.80x = 136,241.70 × 51,461.80
  4. Step 4: Simplify right side
    90,827.80x = 7,011,243,117.06
  5. Step 5: Solve for x
    x = 7,011,243,117.06/90,827.80
  6. Step 6: Final answer
    x = 77,192.70

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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.