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Finding the Fourth Proportional to 119,228.58, 164,532.14 and 65,513.58

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Solution

The fourth proportional to 119,228.58, 164,532.14 and 65,513.58 is: 90,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,228.58 : 164,532.14 = 65,513.58 : x
  2. Step 2: Convert to fraction form
    119,228.58/164,532.14 = 65,513.58/x
  3. Step 3: Cross multiply
    119,228.58x = 164,532.14 × 65,513.58
  4. Step 4: Simplify right side
    119,228.58x = 10,779,089,516.46
  5. Step 5: Solve for x
    x = 10,779,089,516.46/119,228.58
  6. Step 6: Final answer
    x = 90,406.93

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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.