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Finding the Fourth Proportional to 309,248.60, 463,939.04 and 96,011.84

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Solution

The fourth proportional to 309,248.60, 463,939.04 and 96,011.84 is: 144,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,248.60 : 463,939.04 = 96,011.84 : x
  2. Step 2: Convert to fraction form
    309,248.60/463,939.04 = 96,011.84/x
  3. Step 3: Cross multiply
    309,248.60x = 463,939.04 × 96,011.84
  4. Step 4: Simplify right side
    309,248.60x = 44,543,640,878.23
  5. Step 5: Solve for x
    x = 44,543,640,878.23/309,248.60
  6. Step 6: Final answer
    x = 144,038.29

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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.