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Finding the Fourth Proportional to 292,200.09, 438,569.54 and 148,206.98

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Solution

The fourth proportional to 292,200.09, 438,569.54 and 148,206.98 is: 222,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,200.09 : 438,569.54 = 148,206.98 : x
  2. Step 2: Convert to fraction form
    292,200.09/438,569.54 = 148,206.98/x
  3. Step 3: Cross multiply
    292,200.09x = 438,569.54 × 148,206.98
  4. Step 4: Simplify right side
    292,200.09x = 64,999,064,109.51
  5. Step 5: Solve for x
    x = 64,999,064,109.51/292,200.09
  6. Step 6: Final answer
    x = 222,447.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.