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Finding the Fourth Proportional to 232,009, 348,013.50 and 56,905

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Solution

The fourth proportional to 232,009, 348,013.50 and 56,905 is: 85,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,009 : 348,013.50 = 56,905 : x
  2. Step 2: Convert to fraction form
    232,009/348,013.50 = 56,905/x
  3. Step 3: Cross multiply
    232,009x = 348,013.50 × 56,905
  4. Step 4: Simplify right side
    232,009x = 19,803,708,217.50
  5. Step 5: Solve for x
    x = 19,803,708,217.50/232,009
  6. Step 6: Final answer
    x = 85,357.50

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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.