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Finding the Fourth Proportional to 242,104.38, 334,106.59 and 133,210.14

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Solution

The fourth proportional to 242,104.38, 334,106.59 and 133,210.14 is: 183,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,104.38 : 334,106.59 = 133,210.14 : x
  2. Step 2: Convert to fraction form
    242,104.38/334,106.59 = 133,210.14/x
  3. Step 3: Cross multiply
    242,104.38x = 334,106.59 × 133,210.14
  4. Step 4: Simplify right side
    242,104.38x = 44,506,383,625.26
  5. Step 5: Solve for x
    x = 44,506,383,625.26/242,104.38
  6. Step 6: Final answer
    x = 183,831.39

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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.