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Finding the Fourth Proportional to 368,140.72, 552,211.86 and 101,902

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Solution

The fourth proportional to 368,140.72, 552,211.86 and 101,902 is: 152,853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,140.72 : 552,211.86 = 101,902 : x
  2. Step 2: Convert to fraction form
    368,140.72/552,211.86 = 101,902/x
  3. Step 3: Cross multiply
    368,140.72x = 552,211.86 × 101,902
  4. Step 4: Simplify right side
    368,140.72x = 56,271,492,957.72
  5. Step 5: Solve for x
    x = 56,271,492,957.72/368,140.72
  6. Step 6: Final answer
    x = 152,853.22

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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.