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Finding the Fourth Proportional to 228,547.48, 315,290.84 and 148,000.95

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Solution

The fourth proportional to 228,547.48, 315,290.84 and 148,000.95 is: 204,173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,547.48 : 315,290.84 = 148,000.95 : x
  2. Step 2: Convert to fraction form
    228,547.48/315,290.84 = 148,000.95/x
  3. Step 3: Cross multiply
    228,547.48x = 315,290.84 × 148,000.95
  4. Step 4: Simplify right side
    228,547.48x = 46,663,343,846.30
  5. Step 5: Solve for x
    x = 46,663,343,846.30/228,547.48
  6. Step 6: Final answer
    x = 204,173.52

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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.