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Finding the Fourth Proportional to 116,875.80, 174,876.30 and 77,509.80

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Solution

The fourth proportional to 116,875.80, 174,876.30 and 77,509.80 is: 115,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,875.80 : 174,876.30 = 77,509.80 : x
  2. Step 2: Convert to fraction form
    116,875.80/174,876.30 = 77,509.80/x
  3. Step 3: Cross multiply
    116,875.80x = 174,876.30 × 77,509.80
  4. Step 4: Simplify right side
    116,875.80x = 13,554,627,037.74
  5. Step 5: Solve for x
    x = 13,554,627,037.74/116,875.80
  6. Step 6: Final answer
    x = 115,974.62

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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.