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Finding the Fourth Proportional to 282,041.76, 423,064.10 and 95,054.88

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Solution

The fourth proportional to 282,041.76, 423,064.10 and 95,054.88 is: 142,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,041.76 : 423,064.10 = 95,054.88 : x
  2. Step 2: Convert to fraction form
    282,041.76/423,064.10 = 95,054.88/x
  3. Step 3: Cross multiply
    282,041.76x = 423,064.10 × 95,054.88
  4. Step 4: Simplify right side
    282,041.76x = 40,214,307,257.81
  5. Step 5: Solve for x
    x = 40,214,307,257.81/282,041.76
  6. Step 6: Final answer
    x = 142,582.81

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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.