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Finding the Fourth Proportional to 224,804.60, 309,870.04 and 152,184.59

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Solution

The fourth proportional to 224,804.60, 309,870.04 and 152,184.59 is: 209,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,804.60 : 309,870.04 = 152,184.59 : x
  2. Step 2: Convert to fraction form
    224,804.60/309,870.04 = 152,184.59/x
  3. Step 3: Cross multiply
    224,804.60x = 309,870.04 × 152,184.59
  4. Step 4: Simplify right side
    224,804.60x = 47,157,444,990.68
  5. Step 5: Solve for x
    x = 47,157,444,990.68/224,804.60
  6. Step 6: Final answer
    x = 209,770.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.