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Finding the Fourth Proportional to 114,088.40, 157,447.89 and 65,697.51

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Solution

The fourth proportional to 114,088.40, 157,447.89 and 65,697.51 is: 90,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,088.40 : 157,447.89 = 65,697.51 : x
  2. Step 2: Convert to fraction form
    114,088.40/157,447.89 = 65,697.51/x
  3. Step 3: Cross multiply
    114,088.40x = 157,447.89 × 65,697.51
  4. Step 4: Simplify right side
    114,088.40x = 10,343,934,327.75
  5. Step 5: Solve for x
    x = 10,343,934,327.75/114,088.40
  6. Step 6: Final answer
    x = 90,665.96

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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.