Finding the Fourth Proportional to 102,278.16, 141,140.04 and 56,958
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Solution
The fourth proportional to 102,278.16, 141,140.04 and 56,958 is: 78,599.91
Step by Step Solution
- Step 1: Write the proportion equation
102,278.16 : 141,140.04 = 56,958 : x - Step 2: Convert to fraction form
102,278.16/141,140.04 = 56,958/x - Step 3: Cross multiply
102,278.16x = 141,140.04 × 56,958 - Step 4: Simplify right side
102,278.16x = 8,039,054,398.32 - Step 5: Solve for x
x = 8,039,054,398.32/102,278.16 - Step 6: Final answer
x = 78,599.91
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.