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Finding the Fourth Proportional to 546,136, 819,342.28 and 152,152

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Solution

The fourth proportional to 546,136, 819,342.28 and 152,152 is: 228,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,136 : 819,342.28 = 152,152 : x
  2. Step 2: Convert to fraction form
    546,136/819,342.28 = 152,152/x
  3. Step 3: Cross multiply
    546,136x = 819,342.28 × 152,152
  4. Step 4: Simplify right side
    546,136x = 124,664,566,586.56
  5. Step 5: Solve for x
    x = 124,664,566,586.56/546,136
  6. Step 6: Final answer
    x = 228,266.52

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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.