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Finding the Fourth Proportional to 202,931.94, 280,022.08 and 112,275.94

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Solution

The fourth proportional to 202,931.94, 280,022.08 and 112,275.94 is: 154,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,931.94 : 280,022.08 = 112,275.94 : x
  2. Step 2: Convert to fraction form
    202,931.94/280,022.08 = 112,275.94/x
  3. Step 3: Cross multiply
    202,931.94x = 280,022.08 × 112,275.94
  4. Step 4: Simplify right side
    202,931.94x = 31,439,742,252.76
  5. Step 5: Solve for x
    x = 31,439,742,252.76/202,931.94
  6. Step 6: Final answer
    x = 154,927.52

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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.