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Finding the Fourth Proportional to 116,442.14, 160,707.15 and 65,459.07

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Solution

The fourth proportional to 116,442.14, 160,707.15 and 65,459.07 is: 90,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,442.14 : 160,707.15 = 65,459.07 : x
  2. Step 2: Convert to fraction form
    116,442.14/160,707.15 = 65,459.07/x
  3. Step 3: Cross multiply
    116,442.14x = 160,707.15 × 65,459.07
  4. Step 4: Simplify right side
    116,442.14x = 10,519,740,581.35
  5. Step 5: Solve for x
    x = 10,519,740,581.35/116,442.14
  6. Step 6: Final answer
    x = 90,343.08

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1.5x scale

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.