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Finding the Fourth Proportional to 174,643.66, 261,746.28 and 74,686.28

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Solution

The fourth proportional to 174,643.66, 261,746.28 and 74,686.28 is: 111,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,643.66 : 261,746.28 = 74,686.28 : x
  2. Step 2: Convert to fraction form
    174,643.66/261,746.28 = 74,686.28/x
  3. Step 3: Cross multiply
    174,643.66x = 261,746.28 × 74,686.28
  4. Step 4: Simplify right side
    174,643.66x = 19,548,855,957.04
  5. Step 5: Solve for x
    x = 19,548,855,957.04/174,643.66
  6. Step 6: Final answer
    x = 111,935.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.