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Finding the Fourth Proportional to 105,407.84, 158,001.60 and 46,193.60

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Solution

The fourth proportional to 105,407.84, 158,001.60 and 46,193.60 is: 69,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,407.84 : 158,001.60 = 46,193.60 : x
  2. Step 2: Convert to fraction form
    105,407.84/158,001.60 = 46,193.60/x
  3. Step 3: Cross multiply
    105,407.84x = 158,001.60 × 46,193.60
  4. Step 4: Simplify right side
    105,407.84x = 7,298,662,709.76
  5. Step 5: Solve for x
    x = 7,298,662,709.76/105,407.84
  6. Step 6: Final answer
    x = 69,242.12

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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.