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Finding the Fourth Proportional to 100,875, 151,298.88 and 41,702.46

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Solution

The fourth proportional to 100,875, 151,298.88 and 41,702.46 is: 62,548.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,875 : 151,298.88 = 41,702.46 : x
  2. Step 2: Convert to fraction form
    100,875/151,298.88 = 41,702.46/x
  3. Step 3: Cross multiply
    100,875x = 151,298.88 × 41,702.46
  4. Step 4: Simplify right side
    100,875x = 6,309,535,491.24
  5. Step 5: Solve for x
    x = 6,309,535,491.24/100,875
  6. Step 6: Final answer
    x = 62,548.06

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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.