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Finding the Fourth Proportional to 292,214.90, 403,255.09 and 164,890.10

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Solution

The fourth proportional to 292,214.90, 403,255.09 and 164,890.10 is: 227,547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,214.90 : 403,255.09 = 164,890.10 : x
  2. Step 2: Convert to fraction form
    292,214.90/403,255.09 = 164,890.10/x
  3. Step 3: Cross multiply
    292,214.90x = 403,255.09 × 164,890.10
  4. Step 4: Simplify right side
    292,214.90x = 66,492,772,115.61
  5. Step 5: Solve for x
    x = 66,492,772,115.61/292,214.90
  6. Step 6: Final answer
    x = 227,547.51

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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.