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Finding the Fourth Proportional to 111,316, 166,983.72 and 28,210

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Solution

The fourth proportional to 111,316, 166,983.72 and 28,210 is: 42,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,316 : 166,983.72 = 28,210 : x
  2. Step 2: Convert to fraction form
    111,316/166,983.72 = 28,210/x
  3. Step 3: Cross multiply
    111,316x = 166,983.72 × 28,210
  4. Step 4: Simplify right side
    111,316x = 4,710,610,741.20
  5. Step 5: Solve for x
    x = 4,710,610,741.20/111,316
  6. Step 6: Final answer
    x = 42,317.46

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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.