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Finding the Fourth Proportional to 119,114.93, 164,378.95 and 65,403.43

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Solution

The fourth proportional to 119,114.93, 164,378.95 and 65,403.43 is: 90,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,114.93 : 164,378.95 = 65,403.43 : x
  2. Step 2: Convert to fraction form
    119,114.93/164,378.95 = 65,403.43/x
  3. Step 3: Cross multiply
    119,114.93x = 164,378.95 × 65,403.43
  4. Step 4: Simplify right side
    119,114.93x = 10,750,946,575.34
  5. Step 5: Solve for x
    x = 10,750,946,575.34/119,114.93
  6. Step 6: Final answer
    x = 90,256.92

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1.5x scale

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.