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Finding the Fourth Proportional to 214,925.54, 296,510.64 and 129,894.98

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Solution

The fourth proportional to 214,925.54, 296,510.64 and 129,894.98 is: 179,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,925.54 : 296,510.64 = 129,894.98 : x
  2. Step 2: Convert to fraction form
    214,925.54/296,510.64 = 129,894.98/x
  3. Step 3: Cross multiply
    214,925.54x = 296,510.64 × 129,894.98
  4. Step 4: Simplify right side
    214,925.54x = 38,515,243,652.59
  5. Step 5: Solve for x
    x = 38,515,243,652.59/214,925.54
  6. Step 6: Final answer
    x = 179,202.73

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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.