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Finding the Fourth Proportional to 187,113, 258,221.40 and 102,235.53

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Solution

The fourth proportional to 187,113, 258,221.40 and 102,235.53 is: 141,088.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,113 : 258,221.40 = 102,235.53 : x
  2. Step 2: Convert to fraction form
    187,113/258,221.40 = 102,235.53/x
  3. Step 3: Cross multiply
    187,113x = 258,221.40 × 102,235.53
  4. Step 4: Simplify right side
    187,113x = 26,399,401,686.34
  5. Step 5: Solve for x
    x = 26,399,401,686.34/187,113
  6. Step 6: Final answer
    x = 141,088.01

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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.