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Finding the Fourth Proportional to 233,153.92, 321,885.12 and 153,896.32

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Solution

The fourth proportional to 233,153.92, 321,885.12 and 153,896.32 is: 212,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,153.92 : 321,885.12 = 153,896.32 : x
  2. Step 2: Convert to fraction form
    233,153.92/321,885.12 = 153,896.32/x
  3. Step 3: Cross multiply
    233,153.92x = 321,885.12 × 153,896.32
  4. Step 4: Simplify right side
    233,153.92x = 49,536,935,430.76
  5. Step 5: Solve for x
    x = 49,536,935,430.76/233,153.92
  6. Step 6: Final answer
    x = 212,464.52

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1.5x scale

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.