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Finding the Fourth Proportional to 106,959.16, 147,619.08 and 61,628.45

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Solution

The fourth proportional to 106,959.16, 147,619.08 and 61,628.45 is: 85,056.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,959.16 : 147,619.08 = 61,628.45 : x
  2. Step 2: Convert to fraction form
    106,959.16/147,619.08 = 61,628.45/x
  3. Step 3: Cross multiply
    106,959.16x = 147,619.08 × 61,628.45
  4. Step 4: Simplify right side
    106,959.16x = 9,097,535,459.87
  5. Step 5: Solve for x
    x = 9,097,535,459.87/106,959.16
  6. Step 6: Final answer
    x = 85,056.16

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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.