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Finding the Fourth Proportional to 230,943.40, 346,415.10 and 152,103.40

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Solution

The fourth proportional to 230,943.40, 346,415.10 and 152,103.40 is: 228,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,943.40 : 346,415.10 = 152,103.40 : x
  2. Step 2: Convert to fraction form
    230,943.40/346,415.10 = 152,103.40/x
  3. Step 3: Cross multiply
    230,943.40x = 346,415.10 × 152,103.40
  4. Step 4: Simplify right side
    230,943.40x = 52,690,914,521.34
  5. Step 5: Solve for x
    x = 52,690,914,521.34/230,943.40
  6. Step 6: Final answer
    x = 228,155.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.