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Finding the Fourth Proportional to 224,878.79, 310,302.77 and 144,415.28

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Solution

The fourth proportional to 224,878.79, 310,302.77 and 144,415.28 is: 199,273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,878.79 : 310,302.77 = 144,415.28 : x
  2. Step 2: Convert to fraction form
    224,878.79/310,302.77 = 144,415.28/x
  3. Step 3: Cross multiply
    224,878.79x = 310,302.77 × 144,415.28
  4. Step 4: Simplify right side
    224,878.79x = 44,812,461,468.01
  5. Step 5: Solve for x
    x = 44,812,461,468.01/224,878.79
  6. Step 6: Final answer
    x = 199,273.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.