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Finding the Fourth Proportional to 292,061.81, 403,045.30 and 157,925.81

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Solution

The fourth proportional to 292,061.81, 403,045.30 and 157,925.81 is: 217,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,061.81 : 403,045.30 = 157,925.81 : x
  2. Step 2: Convert to fraction form
    292,061.81/403,045.30 = 157,925.81/x
  3. Step 3: Cross multiply
    292,061.81x = 403,045.30 × 157,925.81
  4. Step 4: Simplify right side
    292,061.81x = 63,651,256,674.21
  5. Step 5: Solve for x
    x = 63,651,256,674.21/292,061.81
  6. Step 6: Final answer
    x = 217,937.62

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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.