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Finding the Fourth Proportional to 292,263.50, 403,323.63 and 158,127.50

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Solution

The fourth proportional to 292,263.50, 403,323.63 and 158,127.50 is: 218,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,263.50 : 403,323.63 = 158,127.50 : x
  2. Step 2: Convert to fraction form
    292,263.50/403,323.63 = 158,127.50/x
  3. Step 3: Cross multiply
    292,263.50x = 403,323.63 × 158,127.50
  4. Step 4: Simplify right side
    292,263.50x = 63,776,557,302.83
  5. Step 5: Solve for x
    x = 63,776,557,302.83/292,263.50
  6. Step 6: Final answer
    x = 218,215.95

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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.