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Finding the Fourth Proportional to 116,468.80, 174,703.20 and 97,806.40

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Solution

The fourth proportional to 116,468.80, 174,703.20 and 97,806.40 is: 146,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,468.80 : 174,703.20 = 97,806.40 : x
  2. Step 2: Convert to fraction form
    116,468.80/174,703.20 = 97,806.40/x
  3. Step 3: Cross multiply
    116,468.80x = 174,703.20 × 97,806.40
  4. Step 4: Simplify right side
    116,468.80x = 17,087,091,060.48
  5. Step 5: Solve for x
    x = 17,087,091,060.48/116,468.80
  6. Step 6: Final answer
    x = 146,709.60

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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.