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Finding the Fourth Proportional to 116,350.80, 174,007.80 and 97,688.40

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Solution

The fourth proportional to 116,350.80, 174,007.80 and 97,688.40 is: 146,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,350.80 : 174,007.80 = 97,688.40 : x
  2. Step 2: Convert to fraction form
    116,350.80/174,007.80 = 97,688.40/x
  3. Step 3: Cross multiply
    116,350.80x = 174,007.80 × 97,688.40
  4. Step 4: Simplify right side
    116,350.80x = 16,998,543,569.52
  5. Step 5: Solve for x
    x = 16,998,543,569.52/116,350.80
  6. Step 6: Final answer
    x = 146,097.35

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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.