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Finding the Fourth Proportional to 178,375.96, 246,152.16 and 97,801.60

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Solution

The fourth proportional to 178,375.96, 246,152.16 and 97,801.60 is: 134,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,375.96 : 246,152.16 = 97,801.60 : x
  2. Step 2: Convert to fraction form
    178,375.96/246,152.16 = 97,801.60/x
  3. Step 3: Cross multiply
    178,375.96x = 246,152.16 × 97,801.60
  4. Step 4: Simplify right side
    178,375.96x = 24,074,075,091.46
  5. Step 5: Solve for x
    x = 24,074,075,091.46/178,375.96
  6. Step 6: Final answer
    x = 134,962.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.