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Finding the Fourth Proportional to 292,293, 403,364.34 and 158,157

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Solution

The fourth proportional to 292,293, 403,364.34 and 158,157 is: 218,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,293 : 403,364.34 = 158,157 : x
  2. Step 2: Convert to fraction form
    292,293/403,364.34 = 158,157/x
  3. Step 3: Cross multiply
    292,293x = 403,364.34 × 158,157
  4. Step 4: Simplify right side
    292,293x = 63,794,893,921.38
  5. Step 5: Solve for x
    x = 63,794,893,921.38/292,293
  6. Step 6: Final answer
    x = 218,256.66

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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.