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Finding the Fourth Proportional to 346,492.50, 519,738.77 and 83,836.50

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Solution

The fourth proportional to 346,492.50, 519,738.77 and 83,836.50 is: 125,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,492.50 : 519,738.77 = 83,836.50 : x
  2. Step 2: Convert to fraction form
    346,492.50/519,738.77 = 83,836.50/x
  3. Step 3: Cross multiply
    346,492.50x = 519,738.77 × 83,836.50
  4. Step 4: Simplify right side
    346,492.50x = 43,573,079,391.11
  5. Step 5: Solve for x
    x = 43,573,079,391.11/346,492.50
  6. Step 6: Final answer
    x = 125,754.75

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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.