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Finding the Fourth Proportional to 124,564.50, 186,848.46 and 41,458.50

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Solution

The fourth proportional to 124,564.50, 186,848.46 and 41,458.50 is: 62,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,564.50 : 186,848.46 = 41,458.50 : x
  2. Step 2: Convert to fraction form
    124,564.50/186,848.46 = 41,458.50/x
  3. Step 3: Cross multiply
    124,564.50x = 186,848.46 × 41,458.50
  4. Step 4: Simplify right side
    124,564.50x = 7,746,456,878.91
  5. Step 5: Solve for x
    x = 7,746,456,878.91/124,564.50
  6. Step 6: Final answer
    x = 62,188.32

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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.