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Finding the Fourth Proportional to 200,110.15, 300,210 and 105,384.93

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Solution

The fourth proportional to 200,110.15, 300,210 and 105,384.93 is: 158,100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,110.15 : 300,210 = 105,384.93 : x
  2. Step 2: Convert to fraction form
    200,110.15/300,210 = 105,384.93/x
  3. Step 3: Cross multiply
    200,110.15x = 300,210 × 105,384.93
  4. Step 4: Simplify right side
    200,110.15x = 31,637,609,835.30
  5. Step 5: Solve for x
    x = 31,637,609,835.30/200,110.15
  6. Step 6: Final answer
    x = 158,100.98

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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.