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Finding the Fourth Proportional to 272,876.86, 376,569.12 and 152,011

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Solution

The fourth proportional to 272,876.86, 376,569.12 and 152,011 is: 209,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,876.86 : 376,569.12 = 152,011 : x
  2. Step 2: Convert to fraction form
    272,876.86/376,569.12 = 152,011/x
  3. Step 3: Cross multiply
    272,876.86x = 376,569.12 × 152,011
  4. Step 4: Simplify right side
    272,876.86x = 57,242,648,500.32
  5. Step 5: Solve for x
    x = 57,242,648,500.32/272,876.86
  6. Step 6: Final answer
    x = 209,774.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.