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Finding the Fourth Proportional to 152,898.24, 210,899.04 and 96,262.08

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Solution

The fourth proportional to 152,898.24, 210,899.04 and 96,262.08 is: 132,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,898.24 : 210,899.04 = 96,262.08 : x
  2. Step 2: Convert to fraction form
    152,898.24/210,899.04 = 96,262.08/x
  3. Step 3: Cross multiply
    152,898.24x = 210,899.04 × 96,262.08
  4. Step 4: Simplify right side
    152,898.24x = 20,301,580,260.40
  5. Step 5: Solve for x
    x = 20,301,580,260.40/152,898.24
  6. Step 6: Final answer
    x = 132,778.38

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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.