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Finding the Fourth Proportional to 200,594.51, 301,266.52 and 176,587.33

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Solution

The fourth proportional to 200,594.51, 301,266.52 and 176,587.33 is: 265,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,594.51 : 301,266.52 = 176,587.33 : x
  2. Step 2: Convert to fraction form
    200,594.51/301,266.52 = 176,587.33/x
  3. Step 3: Cross multiply
    200,594.51x = 301,266.52 × 176,587.33
  4. Step 4: Simplify right side
    200,594.51x = 53,199,849,190.56
  5. Step 5: Solve for x
    x = 53,199,849,190.56/200,594.51
  6. Step 6: Final answer
    x = 265,210.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.