Finding the Fourth Proportional to 102,462.98, 141,509.18 and 78,003
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Solution
The fourth proportional to 102,462.98, 141,509.18 and 78,003 is: 107,728.09
Step by Step Solution
- Step 1: Write the proportion equation
102,462.98 : 141,509.18 = 78,003 : x - Step 2: Convert to fraction form
102,462.98/141,509.18 = 78,003/x - Step 3: Cross multiply
102,462.98x = 141,509.18 × 78,003 - Step 4: Simplify right side
102,462.98x = 11,038,140,323.78 - Step 5: Solve for x
x = 11,038,140,323.78/102,462.98 - Step 6: Final answer
x = 107,728.09
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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.