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Finding the Fourth Proportional to 189,058.15, 260,897.16 and 103,018.17

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Solution

The fourth proportional to 189,058.15, 260,897.16 and 103,018.17 is: 142,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,058.15 : 260,897.16 = 103,018.17 : x
  2. Step 2: Convert to fraction form
    189,058.15/260,897.16 = 103,018.17/x
  3. Step 3: Cross multiply
    189,058.15x = 260,897.16 × 103,018.17
  4. Step 4: Simplify right side
    189,058.15x = 26,877,147,981.40
  5. Step 5: Solve for x
    x = 26,877,147,981.40/189,058.15
  6. Step 6: Final answer
    x = 142,163.39

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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.