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Finding the Fourth Proportional to 105,113.66, 145,060.23 and 59,790.47

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Solution

The fourth proportional to 105,113.66, 145,060.23 and 59,790.47 is: 82,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,113.66 : 145,060.23 = 59,790.47 : x
  2. Step 2: Convert to fraction form
    105,113.66/145,060.23 = 59,790.47/x
  3. Step 3: Cross multiply
    105,113.66x = 145,060.23 × 59,790.47
  4. Step 4: Simplify right side
    105,113.66x = 8,673,219,031.06
  5. Step 5: Solve for x
    x = 8,673,219,031.06/105,113.66
  6. Step 6: Final answer
    x = 82,512.77

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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.