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Finding the Fourth Proportional to 152,458.60, 228,687.90 and 102,692.20

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Solution

The fourth proportional to 152,458.60, 228,687.90 and 102,692.20 is: 154,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,458.60 : 228,687.90 = 102,692.20 : x
  2. Step 2: Convert to fraction form
    152,458.60/228,687.90 = 102,692.20/x
  3. Step 3: Cross multiply
    152,458.60x = 228,687.90 × 102,692.20
  4. Step 4: Simplify right side
    152,458.60x = 23,484,463,564.38
  5. Step 5: Solve for x
    x = 23,484,463,564.38/152,458.60
  6. Step 6: Final answer
    x = 154,038.30

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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.