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Finding the Fourth Proportional to 257,170.01, 385,646.81 and 97,219.04

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Solution

The fourth proportional to 257,170.01, 385,646.81 and 97,219.04 is: 145,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,170.01 : 385,646.81 = 97,219.04 : x
  2. Step 2: Convert to fraction form
    257,170.01/385,646.81 = 97,219.04/x
  3. Step 3: Cross multiply
    257,170.01x = 385,646.81 × 97,219.04
  4. Step 4: Simplify right side
    257,170.01x = 37,492,210,232.93
  5. Step 5: Solve for x
    x = 37,492,210,232.93/257,170.01
  6. Step 6: Final answer
    x = 145,787.65

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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.