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Finding the Fourth Proportional to 105,143.16, 145,095.69 and 59,820.17

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Solution

The fourth proportional to 105,143.16, 145,095.69 and 59,820.17 is: 82,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,143.16 : 145,095.69 = 59,820.17 : x
  2. Step 2: Convert to fraction form
    105,143.16/145,095.69 = 59,820.17/x
  3. Step 3: Cross multiply
    105,143.16x = 145,095.69 × 59,820.17
  4. Step 4: Simplify right side
    105,143.16x = 8,679,648,842.07
  5. Step 5: Solve for x
    x = 8,679,648,842.07/105,143.16
  6. Step 6: Final answer
    x = 82,550.77

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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.