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Finding the Fourth Proportional to 292,140, 403,153.23 and 158,004

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Solution

The fourth proportional to 292,140, 403,153.23 and 158,004 is: 218,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,140 : 403,153.23 = 158,004 : x
  2. Step 2: Convert to fraction form
    292,140/403,153.23 = 158,004/x
  3. Step 3: Cross multiply
    292,140x = 403,153.23 × 158,004
  4. Step 4: Simplify right side
    292,140x = 63,699,822,952.92
  5. Step 5: Solve for x
    x = 63,699,822,952.92/292,140
  6. Step 6: Final answer
    x = 218,045.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.