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Finding the Fourth Proportional to 152,136.30, 228,204.45 and 147,762.30

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Solution

The fourth proportional to 152,136.30, 228,204.45 and 147,762.30 is: 221,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,136.30 : 228,204.45 = 147,762.30 : x
  2. Step 2: Convert to fraction form
    152,136.30/228,204.45 = 147,762.30/x
  3. Step 3: Cross multiply
    152,136.30x = 228,204.45 × 147,762.30
  4. Step 4: Simplify right side
    152,136.30x = 33,720,014,402.24
  5. Step 5: Solve for x
    x = 33,720,014,402.24/152,136.30
  6. Step 6: Final answer
    x = 221,643.45

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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.