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Finding the Fourth Proportional to 292,072.30, 403,059.81 and 157,936.30

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Solution

The fourth proportional to 292,072.30, 403,059.81 and 157,936.30 is: 217,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,072.30 : 403,059.81 = 157,936.30 : x
  2. Step 2: Convert to fraction form
    292,072.30/403,059.81 = 157,936.30/x
  3. Step 3: Cross multiply
    292,072.30x = 403,059.81 × 157,936.30
  4. Step 4: Simplify right side
    292,072.30x = 63,657,775,070.10
  5. Step 5: Solve for x
    x = 63,657,775,070.10/292,072.30
  6. Step 6: Final answer
    x = 217,952.11

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1.5x scale

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.