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Finding the Fourth Proportional to 210,719.84, 316,204.16 and 77,692.96

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Solution

The fourth proportional to 210,719.84, 316,204.16 and 77,692.96 is: 116,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,719.84 : 316,204.16 = 77,692.96 : x
  2. Step 2: Convert to fraction form
    210,719.84/316,204.16 = 77,692.96/x
  3. Step 3: Cross multiply
    210,719.84x = 316,204.16 × 77,692.96
  4. Step 4: Simplify right side
    210,719.84x = 24,566,837,154.71
  5. Step 5: Solve for x
    x = 24,566,837,154.71/210,719.84
  6. Step 6: Final answer
    x = 116,585.31

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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.