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Finding the Fourth Proportional to 228,194.55, 314,803.71 and 147,648.33

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Solution

The fourth proportional to 228,194.55, 314,803.71 and 147,648.33 is: 203,686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,194.55 : 314,803.71 = 147,648.33 : x
  2. Step 2: Convert to fraction form
    228,194.55/314,803.71 = 147,648.33/x
  3. Step 3: Cross multiply
    228,194.55x = 314,803.71 × 147,648.33
  4. Step 4: Simplify right side
    228,194.55x = 46,480,242,059.30
  5. Step 5: Solve for x
    x = 46,480,242,059.30/228,194.55
  6. Step 6: Final answer
    x = 203,686.91

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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.