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Finding the Fourth Proportional to 233,690, 322,492.20 and 133,097.36

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Solution

The fourth proportional to 233,690, 322,492.20 and 133,097.36 is: 183,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,690 : 322,492.20 = 133,097.36 : x
  2. Step 2: Convert to fraction form
    233,690/322,492.20 = 133,097.36/x
  3. Step 3: Cross multiply
    233,690x = 322,492.20 × 133,097.36
  4. Step 4: Simplify right side
    233,690x = 42,922,860,440.59
  5. Step 5: Solve for x
    x = 42,922,860,440.59/233,690
  6. Step 6: Final answer
    x = 183,674.36

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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.