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Finding the Fourth Proportional to 260,565.60, 390,848.40 and 148,202.40

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Solution

The fourth proportional to 260,565.60, 390,848.40 and 148,202.40 is: 222,303.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,565.60 : 390,848.40 = 148,202.40 : x
  2. Step 2: Convert to fraction form
    260,565.60/390,848.40 = 148,202.40/x
  3. Step 3: Cross multiply
    260,565.60x = 390,848.40 × 148,202.40
  4. Step 4: Simplify right side
    260,565.60x = 57,924,670,916.16
  5. Step 5: Solve for x
    x = 57,924,670,916.16/260,565.60
  6. Step 6: Final answer
    x = 222,303.60

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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.