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Finding the Fourth Proportional to 151,122, 226,681.65 and 56,348.97

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Solution

The fourth proportional to 151,122, 226,681.65 and 56,348.97 is: 84,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,122 : 226,681.65 = 56,348.97 : x
  2. Step 2: Convert to fraction form
    151,122/226,681.65 = 56,348.97/x
  3. Step 3: Cross multiply
    151,122x = 226,681.65 × 56,348.97
  4. Step 4: Simplify right side
    151,122x = 12,773,277,495.40
  5. Step 5: Solve for x
    x = 12,773,277,495.40/151,122
  6. Step 6: Final answer
    x = 84,522.95

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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.