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Finding the Fourth Proportional to 145,437.66, 200,719.76 and 85,028.67

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Solution

The fourth proportional to 145,437.66, 200,719.76 and 85,028.67 is: 117,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,437.66 : 200,719.76 = 85,028.67 : x
  2. Step 2: Convert to fraction form
    145,437.66/200,719.76 = 85,028.67/x
  3. Step 3: Cross multiply
    145,437.66x = 200,719.76 × 85,028.67
  4. Step 4: Simplify right side
    145,437.66x = 17,066,933,810.38
  5. Step 5: Solve for x
    x = 17,066,933,810.38/145,437.66
  6. Step 6: Final answer
    x = 117,348.79

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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.