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Finding the Fourth Proportional to 137,577.57, 189,776.59 and 86,509.45

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Solution

The fourth proportional to 137,577.57, 189,776.59 and 86,509.45 is: 119,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,577.57 : 189,776.59 = 86,509.45 : x
  2. Step 2: Convert to fraction form
    137,577.57/189,776.59 = 86,509.45/x
  3. Step 3: Cross multiply
    137,577.57x = 189,776.59 × 86,509.45
  4. Step 4: Simplify right side
    137,577.57x = 16,417,468,423.78
  5. Step 5: Solve for x
    x = 16,417,468,423.78/137,577.57
  6. Step 6: Final answer
    x = 119,332.45

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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.