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Finding the Fourth Proportional to 213,009.84, 294,051.43 and 183,822.10

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Solution

The fourth proportional to 213,009.84, 294,051.43 and 183,822.10 is: 253,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,009.84 : 294,051.43 = 183,822.10 : x
  2. Step 2: Convert to fraction form
    213,009.84/294,051.43 = 183,822.10/x
  3. Step 3: Cross multiply
    213,009.84x = 294,051.43 × 183,822.10
  4. Step 4: Simplify right side
    213,009.84x = 54,053,151,370.60
  5. Step 5: Solve for x
    x = 54,053,151,370.60/213,009.84
  6. Step 6: Final answer
    x = 253,758.94

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1.5x scale

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.