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Finding the Fourth Proportional to 253,157.40, 379,298.70 and 164,365.20

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Solution

The fourth proportional to 253,157.40, 379,298.70 and 164,365.20 is: 246,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,157.40 : 379,298.70 = 164,365.20 : x
  2. Step 2: Convert to fraction form
    253,157.40/379,298.70 = 164,365.20/x
  3. Step 3: Cross multiply
    253,157.40x = 379,298.70 × 164,365.20
  4. Step 4: Simplify right side
    253,157.40x = 62,343,506,685.24
  5. Step 5: Solve for x
    x = 62,343,506,685.24/253,157.40
  6. Step 6: Final answer
    x = 246,263.81

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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.