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Finding the Fourth Proportional to 200,875.52, 277,210.48 and 110,228.92

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Solution

The fourth proportional to 200,875.52, 277,210.48 and 110,228.92 is: 152,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,875.52 : 277,210.48 = 110,228.92 : x
  2. Step 2: Convert to fraction form
    200,875.52/277,210.48 = 110,228.92/x
  3. Step 3: Cross multiply
    200,875.52x = 277,210.48 × 110,228.92
  4. Step 4: Simplify right side
    200,875.52x = 30,556,611,823.08
  5. Step 5: Solve for x
    x = 30,556,611,823.08/200,875.52
  6. Step 6: Final answer
    x = 152,117.15

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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.