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Finding the Fourth Proportional to 152,615.70, 228,923.55 and 99,471.60

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Solution

The fourth proportional to 152,615.70, 228,923.55 and 99,471.60 is: 149,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,615.70 : 228,923.55 = 99,471.60 : x
  2. Step 2: Convert to fraction form
    152,615.70/228,923.55 = 99,471.60/x
  3. Step 3: Cross multiply
    152,615.70x = 228,923.55 × 99,471.60
  4. Step 4: Simplify right side
    152,615.70x = 22,771,391,796.18
  5. Step 5: Solve for x
    x = 22,771,391,796.18/152,615.70
  6. Step 6: Final answer
    x = 149,207.40

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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.