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Finding the Fourth Proportional to 93,476.16, 140,032.80 and 83,004.48

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Solution

The fourth proportional to 93,476.16, 140,032.80 and 83,004.48 is: 124,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,476.16 : 140,032.80 = 83,004.48 : x
  2. Step 2: Convert to fraction form
    93,476.16/140,032.80 = 83,004.48/x
  3. Step 3: Cross multiply
    93,476.16x = 140,032.80 × 83,004.48
  4. Step 4: Simplify right side
    93,476.16x = 11,623,349,746.94
  5. Step 5: Solve for x
    x = 11,623,349,746.94/93,476.16
  6. Step 6: Final answer
    x = 124,345.61

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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.