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Finding the Fourth Proportional to 209,483.21, 312,482.46 and 189,304.49

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Solution

The fourth proportional to 209,483.21, 312,482.46 and 189,304.49 is: 282,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,483.21 : 312,482.46 = 189,304.49 : x
  2. Step 2: Convert to fraction form
    209,483.21/312,482.46 = 189,304.49/x
  3. Step 3: Cross multiply
    209,483.21x = 312,482.46 × 189,304.49
  4. Step 4: Simplify right side
    209,483.21x = 59,154,333,150.51
  5. Step 5: Solve for x
    x = 59,154,333,150.51/209,483.21
  6. Step 6: Final answer
    x = 282,382.21

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Why These Related Problems?

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