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Finding the Fourth Proportional to 242,154, 334,172.68 and 141,552.72

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Solution

The fourth proportional to 242,154, 334,172.68 and 141,552.72 is: 195,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,154 : 334,172.68 = 141,552.72 : x
  2. Step 2: Convert to fraction form
    242,154/334,172.68 = 141,552.72/x
  3. Step 3: Cross multiply
    242,154x = 334,172.68 × 141,552.72
  4. Step 4: Simplify right side
    242,154x = 47,303,051,803.69
  5. Step 5: Solve for x
    x = 47,303,051,803.69/242,154
  6. Step 6: Final answer
    x = 195,342.85

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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.