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Finding the Fourth Proportional to 127,967.61, 192,069.22 and 64,831.65

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Solution

The fourth proportional to 127,967.61, 192,069.22 and 64,831.65 is: 97,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,967.61 : 192,069.22 = 64,831.65 : x
  2. Step 2: Convert to fraction form
    127,967.61/192,069.22 = 64,831.65/x
  3. Step 3: Cross multiply
    127,967.61x = 192,069.22 × 64,831.65
  4. Step 4: Simplify right side
    127,967.61x = 12,452,164,446.81
  5. Step 5: Solve for x
    x = 12,452,164,446.81/127,967.61
  6. Step 6: Final answer
    x = 97,307.16

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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.