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Finding the Fourth Proportional to 162,030.80, 242,657.40 and 78,827.60

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Solution

The fourth proportional to 162,030.80, 242,657.40 and 78,827.60 is: 118,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,030.80 : 242,657.40 = 78,827.60 : x
  2. Step 2: Convert to fraction form
    162,030.80/242,657.40 = 78,827.60/x
  3. Step 3: Cross multiply
    162,030.80x = 242,657.40 × 78,827.60
  4. Step 4: Simplify right side
    162,030.80x = 19,128,100,464.24
  5. Step 5: Solve for x
    x = 19,128,100,464.24/162,030.80
  6. Step 6: Final answer
    x = 118,052.25

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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.