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Finding the Fourth Proportional to 348,940.64, 523,078.56 and 112,117.10

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Solution

The fourth proportional to 348,940.64, 523,078.56 and 112,117.10 is: 168,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,940.64 : 523,078.56 = 112,117.10 : x
  2. Step 2: Convert to fraction form
    348,940.64/523,078.56 = 112,117.10/x
  3. Step 3: Cross multiply
    348,940.64x = 523,078.56 × 112,117.10
  4. Step 4: Simplify right side
    348,940.64x = 58,646,048,603.98
  5. Step 5: Solve for x
    x = 58,646,048,603.98/348,940.64
  6. Step 6: Final answer
    x = 168,068.84

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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.