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Finding the Fourth Proportional to 302,043.48, 416,829.06 and 166,070.40

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Solution

The fourth proportional to 302,043.48, 416,829.06 and 166,070.40 is: 229,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,043.48 : 416,829.06 = 166,070.40 : x
  2. Step 2: Convert to fraction form
    302,043.48/416,829.06 = 166,070.40/x
  3. Step 3: Cross multiply
    302,043.48x = 416,829.06 × 166,070.40
  4. Step 4: Simplify right side
    302,043.48x = 69,222,968,725.82
  5. Step 5: Solve for x
    x = 69,222,968,725.82/302,043.48
  6. Step 6: Final answer
    x = 229,182.13

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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.