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Finding the Fourth Proportional to 292,085.59, 438,206.01 and 92,409.52

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Solution

The fourth proportional to 292,085.59, 438,206.01 and 92,409.52 is: 138,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,085.59 : 438,206.01 = 92,409.52 : x
  2. Step 2: Convert to fraction form
    292,085.59/438,206.01 = 92,409.52/x
  3. Step 3: Cross multiply
    292,085.59x = 438,206.01 × 92,409.52
  4. Step 4: Simplify right side
    292,085.59x = 40,494,407,045.22
  5. Step 5: Solve for x
    x = 40,494,407,045.22/292,085.59
  6. Step 6: Final answer
    x = 138,638.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.