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Finding the Fourth Proportional to 210,810.52, 316,140.17 and 61,019.81

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Solution

The fourth proportional to 210,810.52, 316,140.17 and 61,019.81 is: 91,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,810.52 : 316,140.17 = 61,019.81 : x
  2. Step 2: Convert to fraction form
    210,810.52/316,140.17 = 61,019.81/x
  3. Step 3: Cross multiply
    210,810.52x = 316,140.17 × 61,019.81
  4. Step 4: Simplify right side
    210,810.52x = 19,290,813,106.77
  5. Step 5: Solve for x
    x = 19,290,813,106.77/210,810.52
  6. Step 6: Final answer
    x = 91,507.83

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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.