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Finding the Fourth Proportional to 111,802.16, 154,272.94 and 75,582.40

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Solution

The fourth proportional to 111,802.16, 154,272.94 and 75,582.40 is: 104,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,802.16 : 154,272.94 = 75,582.40 : x
  2. Step 2: Convert to fraction form
    111,802.16/154,272.94 = 75,582.40/x
  3. Step 3: Cross multiply
    111,802.16x = 154,272.94 × 75,582.40
  4. Step 4: Simplify right side
    111,802.16x = 11,660,319,060.26
  5. Step 5: Solve for x
    x = 11,660,319,060.26/111,802.16
  6. Step 6: Final answer
    x = 104,294.22

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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.