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Finding the Fourth Proportional to 116,120.90, 160,259.38 and 65,814.50

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Solution

The fourth proportional to 116,120.90, 160,259.38 and 65,814.50 is: 90,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,120.90 : 160,259.38 = 65,814.50 : x
  2. Step 2: Convert to fraction form
    116,120.90/160,259.38 = 65,814.50/x
  3. Step 3: Cross multiply
    116,120.90x = 160,259.38 × 65,814.50
  4. Step 4: Simplify right side
    116,120.90x = 10,547,390,965.01
  5. Step 5: Solve for x
    x = 10,547,390,965.01/116,120.90
  6. Step 6: Final answer
    x = 90,831.12

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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.