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Finding the Fourth Proportional to 162,574.86, 224,344.14 and 89,973.74

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Solution

The fourth proportional to 162,574.86, 224,344.14 and 89,973.74 is: 124,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,574.86 : 224,344.14 = 89,973.74 : x
  2. Step 2: Convert to fraction form
    162,574.86/224,344.14 = 89,973.74/x
  3. Step 3: Cross multiply
    162,574.86x = 224,344.14 × 89,973.74
  4. Step 4: Simplify right side
    162,574.86x = 20,185,081,322.88
  5. Step 5: Solve for x
    x = 20,185,081,322.88/162,574.86
  6. Step 6: Final answer
    x = 124,158.69

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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.