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Finding the Fourth Proportional to 260,223.84, 390,069.88 and 147,666.34

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Solution

The fourth proportional to 260,223.84, 390,069.88 and 147,666.34 is: 221,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,223.84 : 390,069.88 = 147,666.34 : x
  2. Step 2: Convert to fraction form
    260,223.84/390,069.88 = 147,666.34/x
  3. Step 3: Cross multiply
    260,223.84x = 390,069.88 × 147,666.34
  4. Step 4: Simplify right side
    260,223.84x = 57,600,191,642.26
  5. Step 5: Solve for x
    x = 57,600,191,642.26/260,223.84
  6. Step 6: Final answer
    x = 221,348.63

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1.5x scale

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.