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Finding the Fourth Proportional to 292,024.69, 402,994.08 and 157,888.69

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Solution

The fourth proportional to 292,024.69, 402,994.08 and 157,888.69 is: 217,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,024.69 : 402,994.08 = 157,888.69 : x
  2. Step 2: Convert to fraction form
    292,024.69/402,994.08 = 157,888.69/x
  3. Step 3: Cross multiply
    292,024.69x = 402,994.08 × 157,888.69
  4. Step 4: Simplify right side
    292,024.69x = 63,628,206,361.47
  5. Step 5: Solve for x
    x = 63,628,206,361.47/292,024.69
  6. Step 6: Final answer
    x = 217,886.39

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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.