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Finding the Fourth Proportional to 153,006.36, 229,415.58 and 53,123.64

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Solution

The fourth proportional to 153,006.36, 229,415.58 and 53,123.64 is: 79,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,006.36 : 229,415.58 = 53,123.64 : x
  2. Step 2: Convert to fraction form
    153,006.36/229,415.58 = 53,123.64/x
  3. Step 3: Cross multiply
    153,006.36x = 229,415.58 × 53,123.64
  4. Step 4: Simplify right side
    153,006.36x = 12,187,390,682.31
  5. Step 5: Solve for x
    x = 12,187,390,682.31/153,006.36
  6. Step 6: Final answer
    x = 79,652.84

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