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Finding the Fourth Proportional to 233,853.76, 322,502.91 and 153,252.01

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Solution

The fourth proportional to 233,853.76, 322,502.91 and 153,252.01 is: 211,346.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,853.76 : 322,502.91 = 153,252.01 : x
  2. Step 2: Convert to fraction form
    233,853.76/322,502.91 = 153,252.01/x
  3. Step 3: Cross multiply
    233,853.76x = 322,502.91 × 153,252.01
  4. Step 4: Simplify right side
    233,853.76x = 49,424,219,188.35
  5. Step 5: Solve for x
    x = 49,424,219,188.35/233,853.76
  6. Step 6: Final answer
    x = 211,346.69

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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.