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Finding the Fourth Proportional to 292,025.25, 402,995.25 and 157,889.25

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Solution

The fourth proportional to 292,025.25, 402,995.25 and 157,889.25 is: 217,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,025.25 : 402,995.25 = 157,889.25 : x
  2. Step 2: Convert to fraction form
    292,025.25/402,995.25 = 157,889.25/x
  3. Step 3: Cross multiply
    292,025.25x = 402,995.25 × 157,889.25
  4. Step 4: Simplify right side
    292,025.25x = 63,628,617,776.06
  5. Step 5: Solve for x
    x = 63,628,617,776.06/292,025.25
  6. Step 6: Final answer
    x = 217,887.38

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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.