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Finding the Fourth Proportional to 152,275.16, 228,412.02 and 101,567

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Solution

The fourth proportional to 152,275.16, 228,412.02 and 101,567 is: 152,350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,275.16 : 228,412.02 = 101,567 : x
  2. Step 2: Convert to fraction form
    152,275.16/228,412.02 = 101,567/x
  3. Step 3: Cross multiply
    152,275.16x = 228,412.02 × 101,567
  4. Step 4: Simplify right side
    152,275.16x = 23,199,123,635.34
  5. Step 5: Solve for x
    x = 23,199,123,635.34/152,275.16
  6. Step 6: Final answer
    x = 152,350.02

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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.