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Finding the Fourth Proportional to 105,438.52, 158,177.22 and 35,368.12

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Solution

The fourth proportional to 105,438.52, 158,177.22 and 35,368.12 is: 53,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,438.52 : 158,177.22 = 35,368.12 : x
  2. Step 2: Convert to fraction form
    105,438.52/158,177.22 = 35,368.12/x
  3. Step 3: Cross multiply
    105,438.52x = 158,177.22 × 35,368.12
  4. Step 4: Simplify right side
    105,438.52x = 5,594,430,898.23
  5. Step 5: Solve for x
    x = 5,594,430,898.23/105,438.52
  6. Step 6: Final answer
    x = 53,058.70

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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.