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Finding the Fourth Proportional to 119,429.90, 164,809.14 and 65,709.89

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Solution

The fourth proportional to 119,429.90, 164,809.14 and 65,709.89 is: 90,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,429.90 : 164,809.14 = 65,709.89 : x
  2. Step 2: Convert to fraction form
    119,429.90/164,809.14 = 65,709.89/x
  3. Step 3: Cross multiply
    119,429.90x = 164,809.14 × 65,709.89
  4. Step 4: Simplify right side
    119,429.90x = 10,829,590,460.39
  5. Step 5: Solve for x
    x = 10,829,590,460.39/119,429.90
  6. Step 6: Final answer
    x = 90,677.38

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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.