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Finding the Fourth Proportional to 306,041.40, 459,062.10 and 140,153.40

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Solution

The fourth proportional to 306,041.40, 459,062.10 and 140,153.40 is: 210,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,041.40 : 459,062.10 = 140,153.40 : x
  2. Step 2: Convert to fraction form
    306,041.40/459,062.10 = 140,153.40/x
  3. Step 3: Cross multiply
    306,041.40x = 459,062.10 × 140,153.40
  4. Step 4: Simplify right side
    306,041.40x = 64,339,114,126.14
  5. Step 5: Solve for x
    x = 64,339,114,126.14/306,041.40
  6. Step 6: Final answer
    x = 210,230.10

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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.