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Finding the Fourth Proportional to 119,643.17, 165,100.16 and 65,925.19

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Solution

The fourth proportional to 119,643.17, 165,100.16 and 65,925.19 is: 90,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,643.17 : 165,100.16 = 65,925.19 : x
  2. Step 2: Convert to fraction form
    119,643.17/165,100.16 = 65,925.19/x
  3. Step 3: Cross multiply
    119,643.17x = 165,100.16 × 65,925.19
  4. Step 4: Simplify right side
    119,643.17x = 10,884,258,261.90
  5. Step 5: Solve for x
    x = 10,884,258,261.90/119,643.17
  6. Step 6: Final answer
    x = 90,972.67

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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.