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Finding the Fourth Proportional to 153,322.34, 230,013.60 and 53,485.79

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Solution

The fourth proportional to 153,322.34, 230,013.60 and 53,485.79 is: 80,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,322.34 : 230,013.60 = 53,485.79 : x
  2. Step 2: Convert to fraction form
    153,322.34/230,013.60 = 53,485.79/x
  3. Step 3: Cross multiply
    153,322.34x = 230,013.60 × 53,485.79
  4. Step 4: Simplify right side
    153,322.34x = 12,302,457,956.68
  5. Step 5: Solve for x
    x = 12,302,457,956.68/153,322.34
  6. Step 6: Final answer
    x = 80,239.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.