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Finding the Fourth Proportional to 357,863.40, 537,036.54 and 147,496.68

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Solution

The fourth proportional to 357,863.40, 537,036.54 and 147,496.68 is: 221,344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,863.40 : 537,036.54 = 147,496.68 : x
  2. Step 2: Convert to fraction form
    357,863.40/537,036.54 = 147,496.68/x
  3. Step 3: Cross multiply
    357,863.40x = 537,036.54 × 147,496.68
  4. Step 4: Simplify right side
    357,863.40x = 79,211,106,688.69
  5. Step 5: Solve for x
    x = 79,211,106,688.69/357,863.40
  6. Step 6: Final answer
    x = 221,344.53

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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.