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Finding the Fourth Proportional to 119,312.63, 164,652.56 and 65,598.02

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Solution

The fourth proportional to 119,312.63, 164,652.56 and 65,598.02 is: 90,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,312.63 : 164,652.56 = 65,598.02 : x
  2. Step 2: Convert to fraction form
    119,312.63/164,652.56 = 65,598.02/x
  3. Step 3: Cross multiply
    119,312.63x = 164,652.56 × 65,598.02
  4. Step 4: Simplify right side
    119,312.63x = 10,800,881,923.93
  5. Step 5: Solve for x
    x = 10,800,881,923.93/119,312.63
  6. Step 6: Final answer
    x = 90,525.89

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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.