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Finding the Fourth Proportional to 292,066.74, 403,052.48 and 163,005.22

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Solution

The fourth proportional to 292,066.74, 403,052.48 and 163,005.22 is: 224,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,066.74 : 403,052.48 = 163,005.22 : x
  2. Step 2: Convert to fraction form
    292,066.74/403,052.48 = 163,005.22/x
  3. Step 3: Cross multiply
    292,066.74x = 403,052.48 × 163,005.22
  4. Step 4: Simplify right side
    292,066.74x = 65,699,658,173.95
  5. Step 5: Solve for x
    x = 65,699,658,173.95/292,066.74
  6. Step 6: Final answer
    x = 224,947.42

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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.