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Finding the Fourth Proportional to 145,154.98, 217,803.80 and 65,249.40

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Solution

The fourth proportional to 145,154.98, 217,803.80 and 65,249.40 is: 97,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,154.98 : 217,803.80 = 65,249.40 : x
  2. Step 2: Convert to fraction form
    145,154.98/217,803.80 = 65,249.40/x
  3. Step 3: Cross multiply
    145,154.98x = 217,803.80 × 65,249.40
  4. Step 4: Simplify right side
    145,154.98x = 14,211,567,022.46
  5. Step 5: Solve for x
    x = 14,211,567,022.46/145,154.98
  6. Step 6: Final answer
    x = 97,906.16

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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.