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Finding the Fourth Proportional to 210,547.80, 315,668.10 and 85,824.60

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Solution

The fourth proportional to 210,547.80, 315,668.10 and 85,824.60 is: 128,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,547.80 : 315,668.10 = 85,824.60 : x
  2. Step 2: Convert to fraction form
    210,547.80/315,668.10 = 85,824.60/x
  3. Step 3: Cross multiply
    210,547.80x = 315,668.10 × 85,824.60
  4. Step 4: Simplify right side
    210,547.80x = 27,092,088,415.26
  5. Step 5: Solve for x
    x = 27,092,088,415.26/210,547.80
  6. Step 6: Final answer
    x = 128,674.29

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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.