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Finding the Fourth Proportional to 122,411.52, 183,409.92 and 97,528.32

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Solution

The fourth proportional to 122,411.52, 183,409.92 and 97,528.32 is: 146,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,411.52 : 183,409.92 = 97,528.32 : x
  2. Step 2: Convert to fraction form
    122,411.52/183,409.92 = 97,528.32/x
  3. Step 3: Cross multiply
    122,411.52x = 183,409.92 × 97,528.32
  4. Step 4: Simplify right side
    122,411.52x = 17,887,661,368.93
  5. Step 5: Solve for x
    x = 17,887,661,368.93/122,411.52
  6. Step 6: Final answer
    x = 146,127.27

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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.