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Finding the Fourth Proportional to 118,547.80, 177,764.10 and 65,901.40

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Solution

The fourth proportional to 118,547.80, 177,764.10 and 65,901.40 is: 98,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,547.80 : 177,764.10 = 65,901.40 : x
  2. Step 2: Convert to fraction form
    118,547.80/177,764.10 = 65,901.40/x
  3. Step 3: Cross multiply
    118,547.80x = 177,764.10 × 65,901.40
  4. Step 4: Simplify right side
    118,547.80x = 11,714,903,059.74
  5. Step 5: Solve for x
    x = 11,714,903,059.74/118,547.80
  6. Step 6: Final answer
    x = 98,820.08

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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.