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Finding the Fourth Proportional to 152,730, 229,099.32 and 41,922

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Solution

The fourth proportional to 152,730, 229,099.32 and 41,922 is: 62,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,730 : 229,099.32 = 41,922 : x
  2. Step 2: Convert to fraction form
    152,730/229,099.32 = 41,922/x
  3. Step 3: Cross multiply
    152,730x = 229,099.32 × 41,922
  4. Step 4: Simplify right side
    152,730x = 9,604,301,693.04
  5. Step 5: Solve for x
    x = 9,604,301,693.04/152,730
  6. Step 6: Final answer
    x = 62,884.19

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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.