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Finding the Fourth Proportional to 260,340.68, 390,065.20 and 142,095

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Solution

The fourth proportional to 260,340.68, 390,065.20 and 142,095 is: 212,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,340.68 : 390,065.20 = 142,095 : x
  2. Step 2: Convert to fraction form
    260,340.68/390,065.20 = 142,095/x
  3. Step 3: Cross multiply
    260,340.68x = 390,065.20 × 142,095
  4. Step 4: Simplify right side
    260,340.68x = 55,426,314,594
  5. Step 5: Solve for x
    x = 55,426,314,594/260,340.68
  6. Step 6: Final answer
    x = 212,899.17

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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.