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Finding the Fourth Proportional to 153,266.64, 229,899.96 and 42,455.76

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Solution

The fourth proportional to 153,266.64, 229,899.96 and 42,455.76 is: 63,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,266.64 : 229,899.96 = 42,455.76 : x
  2. Step 2: Convert to fraction form
    153,266.64/229,899.96 = 42,455.76/x
  3. Step 3: Cross multiply
    153,266.64x = 229,899.96 × 42,455.76
  4. Step 4: Simplify right side
    153,266.64x = 9,760,577,525.77
  5. Step 5: Solve for x
    x = 9,760,577,525.77/153,266.64
  6. Step 6: Final answer
    x = 63,683.64

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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.