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Finding the Fourth Proportional to 292,268, 403,329.84 and 158,132

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Solution

The fourth proportional to 292,268, 403,329.84 and 158,132 is: 218,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,268 : 403,329.84 = 158,132 : x
  2. Step 2: Convert to fraction form
    292,268/403,329.84 = 158,132/x
  3. Step 3: Cross multiply
    292,268x = 403,329.84 × 158,132
  4. Step 4: Simplify right side
    292,268x = 63,779,354,258.88
  5. Step 5: Solve for x
    x = 63,779,354,258.88/292,268
  6. Step 6: Final answer
    x = 218,222.16

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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.