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Finding the Fourth Proportional to 97,707.98, 146,678.88 and 58,283.66

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Solution

The fourth proportional to 97,707.98, 146,678.88 and 58,283.66 is: 87,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,707.98 : 146,678.88 = 58,283.66 : x
  2. Step 2: Convert to fraction form
    97,707.98/146,678.88 = 58,283.66/x
  3. Step 3: Cross multiply
    97,707.98x = 146,678.88 × 58,283.66
  4. Step 4: Simplify right side
    97,707.98x = 8,548,981,971.10
  5. Step 5: Solve for x
    x = 8,548,981,971.10/97,707.98
  6. Step 6: Final answer
    x = 87,495.23

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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.