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Finding the Fourth Proportional to 358,544.16, 537,904.80 and 148,242.24

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Solution

The fourth proportional to 358,544.16, 537,904.80 and 148,242.24 is: 222,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,544.16 : 537,904.80 = 148,242.24 : x
  2. Step 2: Convert to fraction form
    358,544.16/537,904.80 = 148,242.24/x
  3. Step 3: Cross multiply
    358,544.16x = 537,904.80 × 148,242.24
  4. Step 4: Simplify right side
    358,544.16x = 79,740,212,458.75
  5. Step 5: Solve for x
    x = 79,740,212,458.75/358,544.16
  6. Step 6: Final answer
    x = 222,399.98

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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.