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Finding the Fourth Proportional to 222,751.68, 307,316.53 and 146,312.11

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Solution

The fourth proportional to 222,751.68, 307,316.53 and 146,312.11 is: 201,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,751.68 : 307,316.53 = 146,312.11 : x
  2. Step 2: Convert to fraction form
    222,751.68/307,316.53 = 146,312.11/x
  3. Step 3: Cross multiply
    222,751.68x = 307,316.53 × 146,312.11
  4. Step 4: Simplify right side
    222,751.68x = 44,964,129,942.18
  5. Step 5: Solve for x
    x = 44,964,129,942.18/222,751.68
  6. Step 6: Final answer
    x = 201,857.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.