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Finding the Fourth Proportional to 280,538.82, 387,140.64 and 153,214.38

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Solution

The fourth proportional to 280,538.82, 387,140.64 and 153,214.38 is: 211,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,538.82 : 387,140.64 = 153,214.38 : x
  2. Step 2: Convert to fraction form
    280,538.82/387,140.64 = 153,214.38/x
  3. Step 3: Cross multiply
    280,538.82x = 387,140.64 × 153,214.38
  4. Step 4: Simplify right side
    280,538.82x = 59,315,513,130.40
  5. Step 5: Solve for x
    x = 59,315,513,130.40/280,538.82
  6. Step 6: Final answer
    x = 211,434.24

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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.