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Finding the Fourth Proportional to 152,387.82, 228,596.76 and 52,534.87

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Solution

The fourth proportional to 152,387.82, 228,596.76 and 52,534.87 is: 78,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,387.82 : 228,596.76 = 52,534.87 : x
  2. Step 2: Convert to fraction form
    152,387.82/228,596.76 = 52,534.87/x
  3. Step 3: Cross multiply
    152,387.82x = 228,596.76 × 52,534.87
  4. Step 4: Simplify right side
    152,387.82x = 12,009,301,069.02
  5. Step 5: Solve for x
    x = 12,009,301,069.02/152,387.82
  6. Step 6: Final answer
    x = 78,807.49

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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.