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Finding the Fourth Proportional to 187,143.21, 258,264 and 102,265.74

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Solution

The fourth proportional to 187,143.21, 258,264 and 102,265.74 is: 141,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,143.21 : 258,264 = 102,265.74 : x
  2. Step 2: Convert to fraction form
    187,143.21/258,264 = 102,265.74/x
  3. Step 3: Cross multiply
    187,143.21x = 258,264 × 102,265.74
  4. Step 4: Simplify right side
    187,143.21x = 26,411,559,075.36
  5. Step 5: Solve for x
    x = 26,411,559,075.36/187,143.21
  6. Step 6: Final answer
    x = 141,130.20

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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.