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Finding the Fourth Proportional to 116,547.80, 174,908.10 and 77,091.80

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Solution

The fourth proportional to 116,547.80, 174,908.10 and 77,091.80 is: 115,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,547.80 : 174,908.10 = 77,091.80 : x
  2. Step 2: Convert to fraction form
    116,547.80/174,908.10 = 77,091.80/x
  3. Step 3: Cross multiply
    116,547.80x = 174,908.10 × 77,091.80
  4. Step 4: Simplify right side
    116,547.80x = 13,483,980,263.58
  5. Step 5: Solve for x
    x = 13,483,980,263.58/116,547.80
  6. Step 6: Final answer
    x = 115,694.85

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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.