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Finding the Fourth Proportional to 240,152.94, 359,943.12 and 111,897.18

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Solution

The fourth proportional to 240,152.94, 359,943.12 and 111,897.18 is: 167,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,152.94 : 359,943.12 = 111,897.18 : x
  2. Step 2: Convert to fraction form
    240,152.94/359,943.12 = 111,897.18/x
  3. Step 3: Cross multiply
    240,152.94x = 359,943.12 × 111,897.18
  4. Step 4: Simplify right side
    240,152.94x = 40,276,620,088.40
  5. Step 5: Solve for x
    x = 40,276,620,088.40/240,152.94
  6. Step 6: Final answer
    x = 167,712.38

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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.