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Finding the Fourth Proportional to 292,804.50, 404,070.24 and 158,668.50

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Solution

The fourth proportional to 292,804.50, 404,070.24 and 158,668.50 is: 218,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,804.50 : 404,070.24 = 158,668.50 : x
  2. Step 2: Convert to fraction form
    292,804.50/404,070.24 = 158,668.50/x
  3. Step 3: Cross multiply
    292,804.50x = 404,070.24 × 158,668.50
  4. Step 4: Simplify right side
    292,804.50x = 64,113,218,875.44
  5. Step 5: Solve for x
    x = 64,113,218,875.44/292,804.50
  6. Step 6: Final answer
    x = 218,962.55

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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.