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Finding the Fourth Proportional to 316,214.48, 474,354.95 and 102,999.02

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Solution

The fourth proportional to 316,214.48, 474,354.95 and 102,999.02 is: 154,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,214.48 : 474,354.95 = 102,999.02 : x
  2. Step 2: Convert to fraction form
    316,214.48/474,354.95 = 102,999.02/x
  3. Step 3: Cross multiply
    316,214.48x = 474,354.95 × 102,999.02
  4. Step 4: Simplify right side
    316,214.48x = 48,858,094,982.15
  5. Step 5: Solve for x
    x = 48,858,094,982.15/316,214.48
  6. Step 6: Final answer
    x = 154,509.35

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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.