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Finding the Fourth Proportional to 116,953.90, 175,315.65 and 57,798.70

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Solution

The fourth proportional to 116,953.90, 175,315.65 and 57,798.70 is: 86,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,953.90 : 175,315.65 = 57,798.70 : x
  2. Step 2: Convert to fraction form
    116,953.90/175,315.65 = 57,798.70/x
  3. Step 3: Cross multiply
    116,953.90x = 175,315.65 × 57,798.70
  4. Step 4: Simplify right side
    116,953.90x = 10,133,016,659.66
  5. Step 5: Solve for x
    x = 10,133,016,659.66/116,953.90
  6. Step 6: Final answer
    x = 86,641.12

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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.