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Finding the Fourth Proportional to 260,095.60, 390,200.10 and 147,829.60

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Solution

The fourth proportional to 260,095.60, 390,200.10 and 147,829.60 is: 221,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,095.60 : 390,200.10 = 147,829.60 : x
  2. Step 2: Convert to fraction form
    260,095.60/390,200.10 = 147,829.60/x
  3. Step 3: Cross multiply
    260,095.60x = 390,200.10 × 147,829.60
  4. Step 4: Simplify right side
    260,095.60x = 57,683,124,702.96
  5. Step 5: Solve for x
    x = 57,683,124,702.96/260,095.60
  6. Step 6: Final answer
    x = 221,776.63

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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.