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Finding the Fourth Proportional to 105,149.36, 157,700.28 and 30,269.36

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Solution

The fourth proportional to 105,149.36, 157,700.28 and 30,269.36 is: 45,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,149.36 : 157,700.28 = 30,269.36 : x
  2. Step 2: Convert to fraction form
    105,149.36/157,700.28 = 30,269.36/x
  3. Step 3: Cross multiply
    105,149.36x = 157,700.28 × 30,269.36
  4. Step 4: Simplify right side
    105,149.36x = 4,773,486,547.42
  5. Step 5: Solve for x
    x = 4,773,486,547.42/105,149.36
  6. Step 6: Final answer
    x = 45,397.20

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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.