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Finding the Fourth Proportional to 256,159.36, 353,465.76 and 148,728.16

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Solution

The fourth proportional to 256,159.36, 353,465.76 and 148,728.16 is: 205,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,159.36 : 353,465.76 = 148,728.16 : x
  2. Step 2: Convert to fraction form
    256,159.36/353,465.76 = 148,728.16/x
  3. Step 3: Cross multiply
    256,159.36x = 353,465.76 × 148,728.16
  4. Step 4: Simplify right side
    256,159.36x = 52,570,312,107.80
  5. Step 5: Solve for x
    x = 52,570,312,107.80/256,159.36
  6. Step 6: Final answer
    x = 205,225.03

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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.