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Finding the Fourth Proportional to 238,547, 328,847.94 and 166,703.96

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Solution

The fourth proportional to 238,547, 328,847.94 and 166,703.96 is: 229,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,547 : 328,847.94 = 166,703.96 : x
  2. Step 2: Convert to fraction form
    238,547/328,847.94 = 166,703.96/x
  3. Step 3: Cross multiply
    238,547x = 328,847.94 × 166,703.96
  4. Step 4: Simplify right side
    238,547x = 54,820,253,835.84
  5. Step 5: Solve for x
    x = 54,820,253,835.84/238,547
  6. Step 6: Final answer
    x = 229,809.03

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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.