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Finding the Fourth Proportional to 292,159, 403,180.14 and 158,023

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Solution

The fourth proportional to 292,159, 403,180.14 and 158,023 is: 218,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,159 : 403,180.14 = 158,023 : x
  2. Step 2: Convert to fraction form
    292,159/403,180.14 = 158,023/x
  3. Step 3: Cross multiply
    292,159x = 403,180.14 × 158,023
  4. Step 4: Simplify right side
    292,159x = 63,711,735,263.22
  5. Step 5: Solve for x
    x = 63,711,735,263.22/292,159
  6. Step 6: Final answer
    x = 218,072.13

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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.