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Finding the Fourth Proportional to 133,746.74, 200,646.35 and 49,507.64

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Solution

The fourth proportional to 133,746.74, 200,646.35 and 49,507.64 is: 74,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,746.74 : 200,646.35 = 49,507.64 : x
  2. Step 2: Convert to fraction form
    133,746.74/200,646.35 = 49,507.64/x
  3. Step 3: Cross multiply
    133,746.74x = 200,646.35 × 49,507.64
  4. Step 4: Simplify right side
    133,746.74x = 9,933,527,263.11
  5. Step 5: Solve for x
    x = 9,933,527,263.11/133,746.74
  6. Step 6: Final answer
    x = 74,271.17

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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.