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Finding the Fourth Proportional to 475,056.01, 712,608.45 and 120,073.06

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Solution

The fourth proportional to 475,056.01, 712,608.45 and 120,073.06 is: 180,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,056.01 : 712,608.45 = 120,073.06 : x
  2. Step 2: Convert to fraction form
    475,056.01/712,608.45 = 120,073.06/x
  3. Step 3: Cross multiply
    475,056.01x = 712,608.45 × 120,073.06
  4. Step 4: Simplify right side
    475,056.01x = 85,565,077,173.36
  5. Step 5: Solve for x
    x = 85,565,077,173.36/475,056.01
  6. Step 6: Final answer
    x = 180,115.77

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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.