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Finding the Fourth Proportional to 152,234, 228,351.72 and 41,426

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Solution

The fourth proportional to 152,234, 228,351.72 and 41,426 is: 62,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,234 : 228,351.72 = 41,426 : x
  2. Step 2: Convert to fraction form
    152,234/228,351.72 = 41,426/x
  3. Step 3: Cross multiply
    152,234x = 228,351.72 × 41,426
  4. Step 4: Simplify right side
    152,234x = 9,459,698,352.72
  5. Step 5: Solve for x
    x = 9,459,698,352.72/152,234
  6. Step 6: Final answer
    x = 62,139.20

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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.