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Finding the Fourth Proportional to 97,785.40, 146,969.70 and 96,035.80

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Solution

The fourth proportional to 97,785.40, 146,969.70 and 96,035.80 is: 144,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,785.40 : 146,969.70 = 96,035.80 : x
  2. Step 2: Convert to fraction form
    97,785.40/146,969.70 = 96,035.80/x
  3. Step 3: Cross multiply
    97,785.40x = 146,969.70 × 96,035.80
  4. Step 4: Simplify right side
    97,785.40x = 14,114,352,715.26
  5. Step 5: Solve for x
    x = 14,114,352,715.26/97,785.40
  6. Step 6: Final answer
    x = 144,340.08

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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.