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Finding the Fourth Proportional to 102,210, 153,339.66 and 32,089.28

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Solution

The fourth proportional to 102,210, 153,339.66 and 32,089.28 is: 48,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,210 : 153,339.66 = 32,089.28 : x
  2. Step 2: Convert to fraction form
    102,210/153,339.66 = 32,089.28/x
  3. Step 3: Cross multiply
    102,210x = 153,339.66 × 32,089.28
  4. Step 4: Simplify right side
    102,210x = 4,920,559,284.84
  5. Step 5: Solve for x
    x = 4,920,559,284.84/102,210
  6. Step 6: Final answer
    x = 48,141.66

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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.