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Finding the Fourth Proportional to 105,715.65, 145,746.45 and 83,984.01

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Solution

The fourth proportional to 105,715.65, 145,746.45 and 83,984.01 is: 115,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,715.65 : 145,746.45 = 83,984.01 : x
  2. Step 2: Convert to fraction form
    105,715.65/145,746.45 = 83,984.01/x
  3. Step 3: Cross multiply
    105,715.65x = 145,746.45 × 83,984.01
  4. Step 4: Simplify right side
    105,715.65x = 12,240,371,314.26
  5. Step 5: Solve for x
    x = 12,240,371,314.26/105,715.65
  6. Step 6: Final answer
    x = 115,785.80

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