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Finding the Fourth Proportional to 210,033.72, 314,923.32 and 83,693.16

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Solution

The fourth proportional to 210,033.72, 314,923.32 and 83,693.16 is: 125,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,033.72 : 314,923.32 = 83,693.16 : x
  2. Step 2: Convert to fraction form
    210,033.72/314,923.32 = 83,693.16/x
  3. Step 3: Cross multiply
    210,033.72x = 314,923.32 × 83,693.16
  4. Step 4: Simplify right side
    210,033.72x = 26,356,927,808.49
  5. Step 5: Solve for x
    x = 26,356,927,808.49/210,033.72
  6. Step 6: Final answer
    x = 125,489.03

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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.