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Finding the Fourth Proportional to 232,558.51, 348,775.32 and 64,038.72

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Solution

The fourth proportional to 232,558.51, 348,775.32 and 64,038.72 is: 96,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,558.51 : 348,775.32 = 64,038.72 : x
  2. Step 2: Convert to fraction form
    232,558.51/348,775.32 = 64,038.72/x
  3. Step 3: Cross multiply
    232,558.51x = 348,775.32 × 64,038.72
  4. Step 4: Simplify right side
    232,558.51x = 22,335,125,060.39
  5. Step 5: Solve for x
    x = 22,335,125,060.39/232,558.51
  6. Step 6: Final answer
    x = 96,040.88

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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.