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Finding the Fourth Proportional to 292,083, 403,074.56 and 157,947

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Solution

The fourth proportional to 292,083, 403,074.56 and 157,947 is: 217,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,083 : 403,074.56 = 157,947 : x
  2. Step 2: Convert to fraction form
    292,083/403,074.56 = 157,947/x
  3. Step 3: Cross multiply
    292,083x = 403,074.56 × 157,947
  4. Step 4: Simplify right side
    292,083x = 63,664,417,528.32
  5. Step 5: Solve for x
    x = 63,664,417,528.32/292,083
  6. Step 6: Final answer
    x = 217,966.87

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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.