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Finding the Fourth Proportional to 233,296.32, 349,947.36 and 92,973.12

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Solution

The fourth proportional to 233,296.32, 349,947.36 and 92,973.12 is: 139,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,296.32 : 349,947.36 = 92,973.12 : x
  2. Step 2: Convert to fraction form
    233,296.32/349,947.36 = 92,973.12/x
  3. Step 3: Cross multiply
    233,296.32x = 349,947.36 × 92,973.12
  4. Step 4: Simplify right side
    233,296.32x = 32,535,697,894.96
  5. Step 5: Solve for x
    x = 32,535,697,894.96/233,296.32
  6. Step 6: Final answer
    x = 139,460.83

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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.