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Finding the Fourth Proportional to 316,102.14, 474,366.48 and 116,582.16

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Solution

The fourth proportional to 316,102.14, 474,366.48 and 116,582.16 is: 174,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,102.14 : 474,366.48 = 116,582.16 : x
  2. Step 2: Convert to fraction form
    316,102.14/474,366.48 = 116,582.16/x
  3. Step 3: Cross multiply
    316,102.14x = 474,366.48 × 116,582.16
  4. Step 4: Simplify right side
    316,102.14x = 55,302,668,870.00
  5. Step 5: Solve for x
    x = 55,302,668,870.00/316,102.14
  6. Step 6: Final answer
    x = 174,951.90

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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.