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Finding the Fourth Proportional to 295,023, 442,583.72 and 95,319.84

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Solution

The fourth proportional to 295,023, 442,583.72 and 95,319.84 is: 142,995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,023 : 442,583.72 = 95,319.84 : x
  2. Step 2: Convert to fraction form
    295,023/442,583.72 = 95,319.84/x
  3. Step 3: Cross multiply
    295,023x = 442,583.72 × 95,319.84
  4. Step 4: Simplify right side
    295,023x = 42,187,009,377.00
  5. Step 5: Solve for x
    x = 42,187,009,377.00/295,023
  6. Step 6: Final answer
    x = 142,995.66

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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.