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Finding the Fourth Proportional to 100,870.20, 151,305.30 and 30,749.40

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Solution

The fourth proportional to 100,870.20, 151,305.30 and 30,749.40 is: 46,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,870.20 : 151,305.30 = 30,749.40 : x
  2. Step 2: Convert to fraction form
    100,870.20/151,305.30 = 30,749.40/x
  3. Step 3: Cross multiply
    100,870.20x = 151,305.30 × 30,749.40
  4. Step 4: Simplify right side
    100,870.20x = 4,652,547,191.82
  5. Step 5: Solve for x
    x = 4,652,547,191.82/100,870.20
  6. Step 6: Final answer
    x = 46,124.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.