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Finding the Fourth Proportional to 187,106.40, 258,206.67 and 102,223.44

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Solution

The fourth proportional to 187,106.40, 258,206.67 and 102,223.44 is: 141,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,106.40 : 258,206.67 = 102,223.44 : x
  2. Step 2: Convert to fraction form
    187,106.40/258,206.67 = 102,223.44/x
  3. Step 3: Cross multiply
    187,106.40x = 258,206.67 × 102,223.44
  4. Step 4: Simplify right side
    187,106.40x = 26,394,774,038.34
  5. Step 5: Solve for x
    x = 26,394,774,038.34/187,106.40
  6. Step 6: Final answer
    x = 141,068.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.