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Finding the Fourth Proportional to 150,445.74, 224,323.58 and 146,312.30

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Solution

The fourth proportional to 150,445.74, 224,323.58 and 146,312.30 is: 218,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,445.74 : 224,323.58 = 146,312.30 : x
  2. Step 2: Convert to fraction form
    150,445.74/224,323.58 = 146,312.30/x
  3. Step 3: Cross multiply
    150,445.74x = 224,323.58 × 146,312.30
  4. Step 4: Simplify right side
    150,445.74x = 32,821,298,934.03
  5. Step 5: Solve for x
    x = 32,821,298,934.03/150,445.74
  6. Step 6: Final answer
    x = 218,160.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.