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Finding the Fourth Proportional to 193,058.51, 266,420.81 and 117,607.01

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Solution

The fourth proportional to 193,058.51, 266,420.81 and 117,607.01 is: 162,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,058.51 : 266,420.81 = 117,607.01 : x
  2. Step 2: Convert to fraction form
    193,058.51/266,420.81 = 117,607.01/x
  3. Step 3: Cross multiply
    193,058.51x = 266,420.81 × 117,607.01
  4. Step 4: Simplify right side
    193,058.51x = 31,332,953,827.79
  5. Step 5: Solve for x
    x = 31,332,953,827.79/193,058.51
  6. Step 6: Final answer
    x = 162,297.71

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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.