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Finding the Fourth Proportional to 98,130.35, 147,097.10 and 45,576.74

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Solution

The fourth proportional to 98,130.35, 147,097.10 and 45,576.74 is: 68,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,130.35 : 147,097.10 = 45,576.74 : x
  2. Step 2: Convert to fraction form
    98,130.35/147,097.10 = 45,576.74/x
  3. Step 3: Cross multiply
    98,130.35x = 147,097.10 × 45,576.74
  4. Step 4: Simplify right side
    98,130.35x = 6,704,206,281.45
  5. Step 5: Solve for x
    x = 6,704,206,281.45/98,130.35
  6. Step 6: Final answer
    x = 68,319.40

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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.