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Finding the Fourth Proportional to 114,058.16, 157,347.95 and 73,784.89

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Solution

The fourth proportional to 114,058.16, 157,347.95 and 73,784.89 is: 101,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,058.16 : 157,347.95 = 73,784.89 : x
  2. Step 2: Convert to fraction form
    114,058.16/157,347.95 = 73,784.89/x
  3. Step 3: Cross multiply
    114,058.16x = 157,347.95 × 73,784.89
  4. Step 4: Simplify right side
    114,058.16x = 11,609,901,425.28
  5. Step 5: Solve for x
    x = 11,609,901,425.28/114,058.16
  6. Step 6: Final answer
    x = 101,789.31

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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.