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Finding the Fourth Proportional to 295,058.16, 442,708.74 and 105,542.46

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Solution

The fourth proportional to 295,058.16, 442,708.74 and 105,542.46 is: 158,357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,058.16 : 442,708.74 = 105,542.46 : x
  2. Step 2: Convert to fraction form
    295,058.16/442,708.74 = 105,542.46/x
  3. Step 3: Cross multiply
    295,058.16x = 442,708.74 × 105,542.46
  4. Step 4: Simplify right side
    295,058.16x = 46,724,569,483.10
  5. Step 5: Solve for x
    x = 46,724,569,483.10/295,058.16
  6. Step 6: Final answer
    x = 158,357.15

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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.