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Finding the Fourth Proportional to 116,470.48, 174,700.80 and 53,254

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Solution

The fourth proportional to 116,470.48, 174,700.80 and 53,254 is: 79,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,470.48 : 174,700.80 = 53,254 : x
  2. Step 2: Convert to fraction form
    116,470.48/174,700.80 = 53,254/x
  3. Step 3: Cross multiply
    116,470.48x = 174,700.80 × 53,254
  4. Step 4: Simplify right side
    116,470.48x = 9,303,516,403.20
  5. Step 5: Solve for x
    x = 9,303,516,403.20/116,470.48
  6. Step 6: Final answer
    x = 79,878.75

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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.