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Finding the Fourth Proportional to 152,403.84, 210,122.36 and 104,574.16

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Solution

The fourth proportional to 152,403.84, 210,122.36 and 104,574.16 is: 144,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,403.84 : 210,122.36 = 104,574.16 : x
  2. Step 2: Convert to fraction form
    152,403.84/210,122.36 = 104,574.16/x
  3. Step 3: Cross multiply
    152,403.84x = 210,122.36 × 104,574.16
  4. Step 4: Simplify right side
    152,403.84x = 21,973,369,294.22
  5. Step 5: Solve for x
    x = 21,973,369,294.22/152,403.84
  6. Step 6: Final answer
    x = 144,178.58

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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.