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Finding the Fourth Proportional to 119,683.50, 165,162.54 and 65,235.60

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Solution

The fourth proportional to 119,683.50, 165,162.54 and 65,235.60 is: 90,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,683.50 : 165,162.54 = 65,235.60 : x
  2. Step 2: Convert to fraction form
    119,683.50/165,162.54 = 65,235.60/x
  3. Step 3: Cross multiply
    119,683.50x = 165,162.54 × 65,235.60
  4. Step 4: Simplify right side
    119,683.50x = 10,774,477,394.42
  5. Step 5: Solve for x
    x = 10,774,477,394.42/119,683.50
  6. Step 6: Final answer
    x = 90,024.75

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1.5x scale

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.