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Finding the Fourth Proportional to 193,407.60, 290,111.40 and 146,751.60

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Solution

The fourth proportional to 193,407.60, 290,111.40 and 146,751.60 is: 220,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,407.60 : 290,111.40 = 146,751.60 : x
  2. Step 2: Convert to fraction form
    193,407.60/290,111.40 = 146,751.60/x
  3. Step 3: Cross multiply
    193,407.60x = 290,111.40 × 146,751.60
  4. Step 4: Simplify right side
    193,407.60x = 42,574,312,128.24
  5. Step 5: Solve for x
    x = 42,574,312,128.24/193,407.60
  6. Step 6: Final answer
    x = 220,127.40

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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.