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Finding the Fourth Proportional to 98,411.80, 147,617.70 and 97,828.60

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Solution

The fourth proportional to 98,411.80, 147,617.70 and 97,828.60 is: 146,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,411.80 : 147,617.70 = 97,828.60 : x
  2. Step 2: Convert to fraction form
    98,411.80/147,617.70 = 97,828.60/x
  3. Step 3: Cross multiply
    98,411.80x = 147,617.70 × 97,828.60
  4. Step 4: Simplify right side
    98,411.80x = 14,441,232,926.22
  5. Step 5: Solve for x
    x = 14,441,232,926.22/98,411.80
  6. Step 6: Final answer
    x = 146,742.90

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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.