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Finding the Fourth Proportional to 292,071.30, 403,058.43 and 157,935.30

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Solution

The fourth proportional to 292,071.30, 403,058.43 and 157,935.30 is: 217,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,071.30 : 403,058.43 = 157,935.30 : x
  2. Step 2: Convert to fraction form
    292,071.30/403,058.43 = 157,935.30/x
  3. Step 3: Cross multiply
    292,071.30x = 403,058.43 × 157,935.30
  4. Step 4: Simplify right side
    292,071.30x = 63,657,154,059.58
  5. Step 5: Solve for x
    x = 63,657,154,059.58/292,071.30
  6. Step 6: Final answer
    x = 217,950.73

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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.