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Finding the Fourth Proportional to 137,055.50, 205,613.49 and 58,237.10

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Solution

The fourth proportional to 137,055.50, 205,613.49 and 58,237.10 is: 87,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,055.50 : 205,613.49 = 58,237.10 : x
  2. Step 2: Convert to fraction form
    137,055.50/205,613.49 = 58,237.10/x
  3. Step 3: Cross multiply
    137,055.50x = 205,613.49 × 58,237.10
  4. Step 4: Simplify right side
    137,055.50x = 11,974,333,378.48
  5. Step 5: Solve for x
    x = 11,974,333,378.48/137,055.50
  6. Step 6: Final answer
    x = 87,368.50

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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.