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Finding the Fourth Proportional to 233,061.60, 349,851.60 and 144,415.20

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Solution

The fourth proportional to 233,061.60, 349,851.60 and 144,415.20 is: 216,783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,061.60 : 349,851.60 = 144,415.20 : x
  2. Step 2: Convert to fraction form
    233,061.60/349,851.60 = 144,415.20/x
  3. Step 3: Cross multiply
    233,061.60x = 349,851.60 × 144,415.20
  4. Step 4: Simplify right side
    233,061.60x = 50,523,888,784.32
  5. Step 5: Solve for x
    x = 50,523,888,784.32/233,061.60
  6. Step 6: Final answer
    x = 216,783.41

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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.