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Finding the Fourth Proportional to 119,342.02, 164,686.35 and 65,629.30

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Solution

The fourth proportional to 119,342.02, 164,686.35 and 65,629.30 is: 90,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,342.02 : 164,686.35 = 65,629.30 : x
  2. Step 2: Convert to fraction form
    119,342.02/164,686.35 = 65,629.30/x
  3. Step 3: Cross multiply
    119,342.02x = 164,686.35 × 65,629.30
  4. Step 4: Simplify right side
    119,342.02x = 10,808,249,870.06
  5. Step 5: Solve for x
    x = 10,808,249,870.06/119,342.02
  6. Step 6: Final answer
    x = 90,565.33

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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.