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Finding the Fourth Proportional to 153,401.50, 230,241.84 and 78,573.16

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Solution

The fourth proportional to 153,401.50, 230,241.84 and 78,573.16 is: 117,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,401.50 : 230,241.84 = 78,573.16 : x
  2. Step 2: Convert to fraction form
    153,401.50/230,241.84 = 78,573.16/x
  3. Step 3: Cross multiply
    153,401.50x = 230,241.84 × 78,573.16
  4. Step 4: Simplify right side
    153,401.50x = 18,090,828,933.01
  5. Step 5: Solve for x
    x = 18,090,828,933.01/153,401.50
  6. Step 6: Final answer
    x = 117,931.24

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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.