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Finding the Fourth Proportional to 238,617.84, 358,186.10 and 96,560.89

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Solution

The fourth proportional to 238,617.84, 358,186.10 and 96,560.89 is: 144,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,617.84 : 358,186.10 = 96,560.89 : x
  2. Step 2: Convert to fraction form
    238,617.84/358,186.10 = 96,560.89/x
  3. Step 3: Cross multiply
    238,617.84x = 358,186.10 × 96,560.89
  4. Step 4: Simplify right side
    238,617.84x = 34,586,768,601.63
  5. Step 5: Solve for x
    x = 34,586,768,601.63/238,617.84
  6. Step 6: Final answer
    x = 144,946.28

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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.