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Finding the Fourth Proportional to 114,715.68, 158,440.12 and 76,412.14

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Solution

The fourth proportional to 114,715.68, 158,440.12 and 76,412.14 is: 105,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,715.68 : 158,440.12 = 76,412.14 : x
  2. Step 2: Convert to fraction form
    114,715.68/158,440.12 = 76,412.14/x
  3. Step 3: Cross multiply
    114,715.68x = 158,440.12 × 76,412.14
  4. Step 4: Simplify right side
    114,715.68x = 12,106,748,631.06
  5. Step 5: Solve for x
    x = 12,106,748,631.06/114,715.68
  6. Step 6: Final answer
    x = 105,537.00

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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.