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Finding the Fourth Proportional to 213,897.40, 320,154.90 and 166,895.80

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Solution

The fourth proportional to 213,897.40, 320,154.90 and 166,895.80 is: 249,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,897.40 : 320,154.90 = 166,895.80 : x
  2. Step 2: Convert to fraction form
    213,897.40/320,154.90 = 166,895.80/x
  3. Step 3: Cross multiply
    213,897.40x = 320,154.90 × 166,895.80
  4. Step 4: Simplify right side
    213,897.40x = 53,432,508,159.42
  5. Step 5: Solve for x
    x = 53,432,508,159.42/213,897.40
  6. Step 6: Final answer
    x = 249,804.38

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1.5x scale

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.