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Finding the Fourth Proportional to 98,857.36, 136,434.60 and 56,422

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Solution

The fourth proportional to 98,857.36, 136,434.60 and 56,422 is: 77,868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,857.36 : 136,434.60 = 56,422 : x
  2. Step 2: Convert to fraction form
    98,857.36/136,434.60 = 56,422/x
  3. Step 3: Cross multiply
    98,857.36x = 136,434.60 × 56,422
  4. Step 4: Simplify right side
    98,857.36x = 7,697,913,001.20
  5. Step 5: Solve for x
    x = 7,697,913,001.20/98,857.36
  6. Step 6: Final answer
    x = 77,868.89

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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.