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Finding the Fourth Proportional to 242,396, 334,532.40 and 141,878.24

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Solution

The fourth proportional to 242,396, 334,532.40 and 141,878.24 is: 195,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,396 : 334,532.40 = 141,878.24 : x
  2. Step 2: Convert to fraction form
    242,396/334,532.40 = 141,878.24/x
  3. Step 3: Cross multiply
    242,396x = 334,532.40 × 141,878.24
  4. Step 4: Simplify right side
    242,396x = 47,462,868,134.98
  5. Step 5: Solve for x
    x = 47,462,868,134.98/242,396
  6. Step 6: Final answer
    x = 195,807.14

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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.