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Finding the Fourth Proportional to 118,509, 177,769.98 and 35,409.48

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Solution

The fourth proportional to 118,509, 177,769.98 and 35,409.48 is: 53,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,509 : 177,769.98 = 35,409.48 : x
  2. Step 2: Convert to fraction form
    118,509/177,769.98 = 35,409.48/x
  3. Step 3: Cross multiply
    118,509x = 177,769.98 × 35,409.48
  4. Step 4: Simplify right side
    118,509x = 6,294,742,551.41
  5. Step 5: Solve for x
    x = 6,294,742,551.41/118,509
  6. Step 6: Final answer
    x = 53,116.16

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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.