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Finding the Fourth Proportional to 470,019.09, 705,058.62 and 133,086.30

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Solution

The fourth proportional to 470,019.09, 705,058.62 and 133,086.30 is: 199,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,019.09 : 705,058.62 = 133,086.30 : x
  2. Step 2: Convert to fraction form
    470,019.09/705,058.62 = 133,086.30/x
  3. Step 3: Cross multiply
    470,019.09x = 705,058.62 × 133,086.30
  4. Step 4: Simplify right side
    470,019.09x = 93,833,643,018.91
  5. Step 5: Solve for x
    x = 93,833,643,018.91/470,019.09
  6. Step 6: Final answer
    x = 199,637.94

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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.