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Finding the Fourth Proportional to 232,969.16, 349,396 and 99,834.32

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Solution

The fourth proportional to 232,969.16, 349,396 and 99,834.32 is: 149,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,969.16 : 349,396 = 99,834.32 : x
  2. Step 2: Convert to fraction form
    232,969.16/349,396 = 99,834.32/x
  3. Step 3: Cross multiply
    232,969.16x = 349,396 × 99,834.32
  4. Step 4: Simplify right side
    232,969.16x = 34,881,712,070.72
  5. Step 5: Solve for x
    x = 34,881,712,070.72/232,969.16
  6. Step 6: Final answer
    x = 149,726.74

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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.