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Finding the Fourth Proportional to 102,166, 153,300.84 and 46,775.92

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Solution

The fourth proportional to 102,166, 153,300.84 and 46,775.92 is: 70,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,166 : 153,300.84 = 46,775.92 : x
  2. Step 2: Convert to fraction form
    102,166/153,300.84 = 46,775.92/x
  3. Step 3: Cross multiply
    102,166x = 153,300.84 × 46,775.92
  4. Step 4: Simplify right side
    102,166x = 7,170,787,827.77
  5. Step 5: Solve for x
    x = 7,170,787,827.77/102,166
  6. Step 6: Final answer
    x = 70,187.61

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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.