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Finding the Fourth Proportional to 357,162.46, 535,825.50 and 154,792.52

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Solution

The fourth proportional to 357,162.46, 535,825.50 and 154,792.52 is: 232,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,162.46 : 535,825.50 = 154,792.52 : x
  2. Step 2: Convert to fraction form
    357,162.46/535,825.50 = 154,792.52/x
  3. Step 3: Cross multiply
    357,162.46x = 535,825.50 × 154,792.52
  4. Step 4: Simplify right side
    357,162.46x = 82,941,779,425.26
  5. Step 5: Solve for x
    x = 82,941,779,425.26/357,162.46
  6. Step 6: Final answer
    x = 232,224.24

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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.