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Finding the Fourth Proportional to 152,866.80, 228,862.80 and 148,492.80

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Solution

The fourth proportional to 152,866.80, 228,862.80 and 148,492.80 is: 222,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,866.80 : 228,862.80 = 148,492.80 : x
  2. Step 2: Convert to fraction form
    152,866.80/228,862.80 = 148,492.80/x
  3. Step 3: Cross multiply
    152,866.80x = 228,862.80 × 148,492.80
  4. Step 4: Simplify right side
    152,866.80x = 33,984,477,987.84
  5. Step 5: Solve for x
    x = 33,984,477,987.84/152,866.80
  6. Step 6: Final answer
    x = 222,314.32

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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.