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Finding the Fourth Proportional to 105,552.68, 158,335.50 and 46,416.20

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Solution

The fourth proportional to 105,552.68, 158,335.50 and 46,416.20 is: 69,627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,552.68 : 158,335.50 = 46,416.20 : x
  2. Step 2: Convert to fraction form
    105,552.68/158,335.50 = 46,416.20/x
  3. Step 3: Cross multiply
    105,552.68x = 158,335.50 × 46,416.20
  4. Step 4: Simplify right side
    105,552.68x = 7,349,332,235.10
  5. Step 5: Solve for x
    x = 7,349,332,235.10/105,552.68
  6. Step 6: Final answer
    x = 69,627.15

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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.