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Finding the Fourth Proportional to 233,030, 348,793.14 and 120,555.32

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Solution

The fourth proportional to 233,030, 348,793.14 and 120,555.32 is: 180,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,030 : 348,793.14 = 120,555.32 : x
  2. Step 2: Convert to fraction form
    233,030/348,793.14 = 120,555.32/x
  3. Step 3: Cross multiply
    233,030x = 348,793.14 × 120,555.32
  4. Step 4: Simplify right side
    233,030x = 42,048,868,606.50
  5. Step 5: Solve for x
    x = 42,048,868,606.50/233,030
  6. Step 6: Final answer
    x = 180,444.01

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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.