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Finding the Fourth Proportional to 153,206.84, 229,810.32 and 48,034.01

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Solution

The fourth proportional to 153,206.84, 229,810.32 and 48,034.01 is: 72,051.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,206.84 : 229,810.32 = 48,034.01 : x
  2. Step 2: Convert to fraction form
    153,206.84/229,810.32 = 48,034.01/x
  3. Step 3: Cross multiply
    153,206.84x = 229,810.32 × 48,034.01
  4. Step 4: Simplify right side
    153,206.84x = 11,038,711,208.98
  5. Step 5: Solve for x
    x = 11,038,711,208.98/153,206.84
  6. Step 6: Final answer
    x = 72,051.03

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