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Finding the Fourth Proportional to 233,688, 322,489.44 and 133,095.36

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Solution

The fourth proportional to 233,688, 322,489.44 and 133,095.36 is: 183,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,688 : 322,489.44 = 133,095.36 : x
  2. Step 2: Convert to fraction form
    233,688/322,489.44 = 133,095.36/x
  3. Step 3: Cross multiply
    233,688x = 322,489.44 × 133,095.36
  4. Step 4: Simplify right side
    233,688x = 42,921,848,113.00
  5. Step 5: Solve for x
    x = 42,921,848,113.00/233,688
  6. Step 6: Final answer
    x = 183,671.60

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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.