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Finding the Fourth Proportional to 189,088.54, 260,938.70 and 103,048.22

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Solution

The fourth proportional to 189,088.54, 260,938.70 and 103,048.22 is: 142,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,088.54 : 260,938.70 = 103,048.22 : x
  2. Step 2: Convert to fraction form
    189,088.54/260,938.70 = 103,048.22/x
  3. Step 3: Cross multiply
    189,088.54x = 260,938.70 × 103,048.22
  4. Step 4: Simplify right side
    189,088.54x = 26,889,266,744.18
  5. Step 5: Solve for x
    x = 26,889,266,744.18/189,088.54
  6. Step 6: Final answer
    x = 142,204.64

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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.