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Finding the Fourth Proportional to 242,106.95, 334,110.13 and 133,212.69

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Solution

The fourth proportional to 242,106.95, 334,110.13 and 133,212.69 is: 183,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,106.95 : 334,110.13 = 133,212.69 : x
  2. Step 2: Convert to fraction form
    242,106.95/334,110.13 = 133,212.69/x
  3. Step 3: Cross multiply
    242,106.95x = 334,110.13 × 133,212.69
  4. Step 4: Simplify right side
    242,106.95x = 44,507,708,840.52
  5. Step 5: Solve for x
    x = 44,507,708,840.52/242,106.95
  6. Step 6: Final answer
    x = 183,834.91

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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.