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Finding the Fourth Proportional to 102,181.78, 153,276.51 and 46,011.11

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Solution

The fourth proportional to 102,181.78, 153,276.51 and 46,011.11 is: 69,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,181.78 : 153,276.51 = 46,011.11 : x
  2. Step 2: Convert to fraction form
    102,181.78/153,276.51 = 46,011.11/x
  3. Step 3: Cross multiply
    102,181.78x = 153,276.51 × 46,011.11
  4. Step 4: Simplify right side
    102,181.78x = 7,052,422,362.03
  5. Step 5: Solve for x
    x = 7,052,422,362.03/102,181.78
  6. Step 6: Final answer
    x = 69,018.40

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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.