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Finding the Fourth Proportional to 292,030, 403,001.40 and 157,894

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Solution

The fourth proportional to 292,030, 403,001.40 and 157,894 is: 217,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,030 : 403,001.40 = 157,894 : x
  2. Step 2: Convert to fraction form
    292,030/403,001.40 = 157,894/x
  3. Step 3: Cross multiply
    292,030x = 403,001.40 × 157,894
  4. Step 4: Simplify right side
    292,030x = 63,631,503,051.60
  5. Step 5: Solve for x
    x = 63,631,503,051.60/292,030
  6. Step 6: Final answer
    x = 217,893.72

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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.