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Finding the Fourth Proportional to 341,967.96, 513,032.04 and 105,305.40

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Solution

The fourth proportional to 341,967.96, 513,032.04 and 105,305.40 is: 157,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,967.96 : 513,032.04 = 105,305.40 : x
  2. Step 2: Convert to fraction form
    341,967.96/513,032.04 = 105,305.40/x
  3. Step 3: Cross multiply
    341,967.96x = 513,032.04 × 105,305.40
  4. Step 4: Simplify right side
    341,967.96x = 54,025,044,185.02
  5. Step 5: Solve for x
    x = 54,025,044,185.02/341,967.96
  6. Step 6: Final answer
    x = 157,982.77

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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.