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Finding the Fourth Proportional to 152,240, 228,374.40 and 52,396.16

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Solution

The fourth proportional to 152,240, 228,374.40 and 52,396.16 is: 78,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,240 : 228,374.40 = 52,396.16 : x
  2. Step 2: Convert to fraction form
    152,240/228,374.40 = 52,396.16/x
  3. Step 3: Cross multiply
    152,240x = 228,374.40 × 52,396.16
  4. Step 4: Simplify right side
    152,240x = 11,965,941,602.30
  5. Step 5: Solve for x
    x = 11,965,941,602.30/152,240
  6. Step 6: Final answer
    x = 78,599.20

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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.