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Finding the Fourth Proportional to 152,068.32, 209,835.97 and 84,076.11

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Solution

The fourth proportional to 152,068.32, 209,835.97 and 84,076.11 is: 116,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,068.32 : 209,835.97 = 84,076.11 : x
  2. Step 2: Convert to fraction form
    152,068.32/209,835.97 = 84,076.11/x
  3. Step 3: Cross multiply
    152,068.32x = 209,835.97 × 84,076.11
  4. Step 4: Simplify right side
    152,068.32x = 17,642,191,885.49
  5. Step 5: Solve for x
    x = 17,642,191,885.49/152,068.32
  6. Step 6: Final answer
    x = 116,014.91

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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.