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Finding the Fourth Proportional to 233,313, 322,071.46 and 156,876.40

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Solution

The fourth proportional to 233,313, 322,071.46 and 156,876.40 is: 216,556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,313 : 322,071.46 = 156,876.40 : x
  2. Step 2: Convert to fraction form
    233,313/322,071.46 = 156,876.40/x
  3. Step 3: Cross multiply
    233,313x = 322,071.46 × 156,876.40
  4. Step 4: Simplify right side
    233,313x = 50,525,411,579.74
  5. Step 5: Solve for x
    x = 50,525,411,579.74/233,313
  6. Step 6: Final answer
    x = 216,556.35

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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.