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Finding the Fourth Proportional to 105,802.38, 146,075.68 and 65,558.84

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Solution

The fourth proportional to 105,802.38, 146,075.68 and 65,558.84 is: 90,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,802.38 : 146,075.68 = 65,558.84 : x
  2. Step 2: Convert to fraction form
    105,802.38/146,075.68 = 65,558.84/x
  3. Step 3: Cross multiply
    105,802.38x = 146,075.68 × 65,558.84
  4. Step 4: Simplify right side
    105,802.38x = 9,576,552,133.01
  5. Step 5: Solve for x
    x = 9,576,552,133.01/105,802.38
  6. Step 6: Final answer
    x = 90,513.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.