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Finding the Fourth Proportional to 152,411.56, 228,533.96 and 121,023.24

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Solution

The fourth proportional to 152,411.56, 228,533.96 and 121,023.24 is: 181,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,411.56 : 228,533.96 = 121,023.24 : x
  2. Step 2: Convert to fraction form
    152,411.56/228,533.96 = 121,023.24/x
  3. Step 3: Cross multiply
    152,411.56x = 228,533.96 × 121,023.24
  4. Step 4: Simplify right side
    152,411.56x = 27,657,920,289.23
  5. Step 5: Solve for x
    x = 27,657,920,289.23/152,411.56
  6. Step 6: Final answer
    x = 181,468.65

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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.